Since 2012, the price of a school lunch at Westown High School has risen at a constant rate. In 2014, the price of a school lunch was $2.25. The price rose to $3.20 by 2019.
Complete the equation that describes the relationship between the price of a school lunch in dollars, P, and the elapsed time in years since 2012,
Write your answer using whole numbers or decimals rounded to the nearest hundredth.

Please help I don’t understand

Answers

Answer 1

Answer:

  P = 0.14t +2.25

Step-by-step explanation:

The statement that "the price of a school lunch ... has risen at a constant rate" is telling you that the price can be modeled by a linear equation. If P is the price, and t is years after 2012, you are given two points on the line:

  (t, P) = (0, 2.25) and (7, 3.20)

You can use these points to find the equation of the line in the usual way.

  m = (y2 -y1)/(x2 -x1) . . . . . . slope of a line through (x1, y1) and (x2, y2)

  m = (3.20 -2.25)/(7 -0) = 0.95/7 ≈ 0.14

The first point tells you the equation intercept, so the relationship between P and t is ...

  y = mx +b . . . . . . . m = slope; b = y-intercept. We're using (t, P) for (x, y).

  P = 0.14t +2.25


Related Questions

Zoom if you have to see more clearly ! Answer #4 , #5 , & #6 for me !! Show proof for all please ! I'll be giving brainliest and report wrong answers or answers that are correct but no proof !​

Answers

Answer:

N/A; 32; -8

Step-by-step explanation:

4) You have to graph this equation... basically pick two points on the line and connect them. I'd do (0,4) and (4,1) because they're the easiest

5) Just plug -2 into the equation! -3x³+2x², so when you substitute x for -2, you get -3*(-2)³+2*(-2)²=-3*(-8)+2*4=24+8=32

6) -6m+6+6=4-7m, so m=-8

if 3a-b=3 and a+2b=15, then a+b ?

Answers

Step-by-step explanation:

please mark me as brainlest

The graph of a function is shown on the coordinate plane below. Identify the rate of
change of the function.

Answers

Answer:  7/4

=========================================================

How to get that answer:

The slope is the rate of change for any linear function.

Apply the slope formula for any two points on the diagonal line.

I'll use the points (-4, -3) and (0, 4)

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{0-(-4)}\\\\m = \frac{4+3}{0+4}\\\\m = \frac{7}{4}\\\\[/tex]

The slope is m = 7/4

This indicates that each time we go up 7 (rise), we also go to the right 4 units (run)

slope = rise/run = 7/4

rise = 7, run = 4

The fraction 7/4 converts to the decimal form 1.75

solve question 5 all steps

Answers

Answer:

Answer in the pic with steps

Hope it helps

What is the answer to 3(y - 1 + 2y)

Answers

Answer:

Collect like terms.

3((y+2y)-1)

3((y+2y)−1)

2 Simplify (y+2y)-1(y+2y)−1 to 3y-13y−1.

3(3y-1)

3(3y−1)

simplify the expression
3( 2x - 4) -1n

pls hurry

Answers

Answer:

(3)(2x) + 3 (-4) + - 1n

6x + -12 + - n

Answer -n + 6x - 12

what set does -15/2 belong to

Answers

Answer:

Rational numbers

Step-by-step explanation:

any number that can be written as the ratio of two integers and that is terminating or repeating in decimal form



hoped that helped

Answer:

Rational numbers

Step-by-step explanation:

These numbers are numbers that can be expressed as a ratio of two integers and includes decimals that terminate (they end like 5.1 or 6.349) or repeat (such as 5.33333333333...)

An amusement park has two themed resorts, Stargazer Suites and Retro Retreat. The graph and table below display the cost of the stay, y, for different numbers of nights, x, for the two different resorts.
Which statement correctly compares the nightly rates at Stargazer Suites and Retro Retreat?

The nightly rate at Stargazer Suites is $15 more than the nightly rate at Retro Retreat.

The nightly rate at Stargazer Suites is $25 more than the nightly rate at Retro Retreat.

The nightly rate at Retro Retreat is $30 more than the nightly rate at Stargazer Suites.

The nightly rate at Retro Retreat is $80 more than the nightly rate at Stargazer Suites.

The nightly rate at each resort is the same.

Answers

Answer:

to confusing

Step-by-step explanation:

Answer:

The nightly rate at Stargazer Suites is $25 more than the nightly rate at Retro Retreat.

Step-by-step explanation:

Helppppp, please look at the question

Answers

Ok done. Thank to me:>

Find the answer:
2(-5-3)

Answers

Answer:

-16

Step-by-step explanation:

start with brackets

-5-3 = -8

2(-8)

= -16

3/5n + 15 = 10 + 2/5n
n = ?

Answers

1/5n=-5
5/1*1/5n=-5*5/1
n=-25

estimate the area please.​

Answers

Answer: You need to count how many squares are shaded (at least half of it), therefore the area is 32 square units.

It is 32 have a great day

Find the missing factor

Answers

Answer:

[tex](x^4y^5)(x^2y^4)[/tex]

Step-by-step explanation:

Keep these things in mind:

[tex]x^3\times x^3=x^{3+3}=x^6\\\\(x^3)^3=x^{3\times3}=x^9[/tex]

Using those, simplify the left side of this equation:

[tex](x^2y^3)^3\\x^6y^9[/tex]

Now we know what the exponents need to become, so we can find the difference between those and what we have on the right:

[tex]6-4=2\\9-5=4[/tex]

We need to add a 2 to the x, and add a 4 to the y.

[tex](x^4y^5)(x^2y^4)[/tex]

What sentence represents this equation? 4 1/3=11−x

Answers

Answer:

4 1/3 is the same as 11 decreased by a number.

Step-by-step explanation:

please help me!

ty :)

Answers

Answer:

x intercept= (-3,0)  y intercept= (0,3)

Step-by-step explanation:

for x intercepts, y should equal zero

for y intercepts, x should equal zero

x intercept: -x+0=3

-x=3

x=-3  (x,y)--> (-3,0)

y intercept: 0+y=3

y=3 (x,y)--> (0,3)

The x-intercept is the point at which the graph crosses the x-axis.The y-intercept is the point at which the graph crosses the y-axis.Let x be 0.Then, -x + y = 3or, y = 3(x, y) = (0, 3)Now, let y be 0.Then, -x + y = 3or, -x + 0 = 3or, x = -3(x, y) = (-3, 0)So, x-intercepts are 0 and -3 and y-intercepts are 3 and 0.

Answer:

Answer:x - intercept (0, -3)

3)y - intercept (3, 0)

Hope you could get an idea from here.

Doubt clarification - use comment section.

The image of a point k(-3,4) under a translation 5/2 is

Answers

Answer:

try to use automath, it really helps

If N = 6 x 2 x 3, what is the value of N?

Answers

Answer:N= 36

Step-by-step explanation:

b89a4ed3c54f7a92e4c4c9dc4
3283b6a.jpeg
Find the area of the shape shown below.

Answers

Answer:

28 units.

Step-by-step explanation:

Area of square + Area of triangle + Area of rectangle = Area of figure shown

=> (4 x 4) + (1/2 x 4 x 2) + (2 x 4) = Area of figure shown

=> 16 + 4 + 8 = Area of figure shown

=> 28 = Area of figure shown

Therefore, the area of the figure is 28 units.

Hoped this helped.

Answer:

28 units.

Step-by-step explanation:

Act like the shape is just a normal rectangle, because thats easy to do. If it was a full rectangle the length would be 8 and the width would be 4. The formula for finding area of a rectangle is length times width so 8x4 is 32. Now, to find the actual area of the shape, you have to subtract a bit. (I'll add a picture to better explain what I am meaning) You imagine see a mini rectange in the corner with a length of 4 and a width of 2. The area for that is 8. But, only half of that imaginary rectangle is in the actual shape so subtract half of that shape (4) from the original 32 and you get 28. The area is 28 units.

8% of 60 is half of what number

Answers

Answer:

9.6

Step-by-step explanation:

8% of 60 is 4.8

4.8 is half of 9.6

hope this helps! :D

have a miraculous day!! <3

Answer:

9.6

Step-by-step explanation:

8% of 60 is equal to 4.8

To find what 4.8 is half of, multiply 4.8 by 2

4.8 times 2 equals 9.6

one of 50 states is chosen at random. What is the probability of not choosing a state that begins with the letter n?

Answers

Answer:

8 states start with the letter N. Because you’re looking for the amount of states not starting with the letter N, we’ll subtract 8 from 50. Then you’ll put that over the total amount of states. So you should end up with 42/50 which will simplify to 21/25. Hope this helped!

Step-by-step explanation:

If a = - 4 and b = 5x + 2i , then find the value of a ^ 3 b in fully simplified form.

Answers

Answer:

  -320x -128i

Step-by-step explanation:

Put the values where the variables are and do the arithmetic.

  a³b = (-4)³(5x +2i) = -64(5x +2i) = -320x -128i

Consider the relation {(1,3), (2,5), (-6,-3), (0,0)}. What is the range of the relation?

Answers

Answer:

the domain is:

{

3

,

0

,

1

,

6

}

the range is:

{

2

,

3

,

4

,

6

,

4

}

the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .

Step-by-step explanation:

In the relation:

{

(

3

,

2

)

,

(

0

,

3

)

,

(

1

,

4

)

,

(

1

,

6

)

,

(

6

,

4

)

}

:

The domain:

Is the set of all the first numbers of the ordered pairs.

In other words, the domain is all of the x-values.

So in this case the domain is:

{

3

,

0

,

1

,

6

}

The range:

Is the set of the second numbers in each pair, or the y-values.

So in this case the range is:

{

2

,

3

,

4

,

6

,

4

}

A relation is a function if it has only One y-value for each x-value.

So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .

Answer:

the domain is:  { − 3 , 0 , 1 , 6 }

the range is: { 2 , 3 , 4 , − 6, 4 }

the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .

Step-by-step explanation:

In the relation: { ( − 3, 2) , ( 0 , 3 ) , ( 1 , 4 ) , ( 1 , −6 ) , ( 6 , 4 ) } :

The domain:

Is the set of all the first numbers of the ordered pairs.

In other words, the domain is all of the x-values.

So in this case the domain is: {− 3 , 0 , 1 , 6 }

The range:

Is the set of the second numbers in each pair, or the y-values.

So in this case the range is: { 2 , 3 , 4 , − 6, 4 }

A relation is a function if it has only One y-value for each x-value.

So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .

Have a good day/night!

Colton wants to buy a trampoline in 2 months the trampoline costs $228,
if he saves each month how much will he have to save each month?

Answers

Answer:

114 each month

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

228 divided by 2 = 114

Marks test scores for this semester were 83,80,91,74,66,95,87,72,95,97 what is the mode of his test scores

Answers

Answer:

95

Step-by-step explanation:

Mode is what is the most frequent number that occurred; 95 occurred the most from the data.

solve the equation on the interval [0, 2π).
3(sec x)^2 -4=0

Answers

[tex] \: \: \: \: \: [/tex]

[tex]x = \frac{\pi}{6} , \frac{(k)\pi}{6} , \frac{(5)\pi}{6} , \frac{(k)\pi}{6} [/tex]

refer to the attachmenthope it helps

PLZ HELP find the y and x-intercepts. y=-2x+4 PLEASE EXPLAIN

Answers

[tex]\text{Given that,}\\\\y = -2x+4\\\\\text{Plug y= 0 to find the x-intercept,}\\\\0 = -2x +4\\\\\implies 2x = 4\\\\\implies x = \dfrac 42 = 2\\\\\text{So the x - intercept is (2,0)} \\ \\\text{Plug x =0 to find the y-intercept.}\\\\y = -2(0) +4 = 0 +4 = 4\\\\\text{So the y - intercept is (0,4)} \\[/tex]

lines y = -x+2 and y=x+1. The point of intersection of the linear equations is *

(0,2)
(0.5, 1.5)
(-1,0)
(2,0)

Answers

We can solve it by seeing the graph but let's solve the equations.

[tex]\\ \sf\Rrightarrow y=-x+2[/tex]

[tex]\\ \sf\Rrightarrow y=x+1[/tex]

Now

[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]

[tex]\\ \sf\Rrightarrow -2x=-1[/tex]

[tex]\\ \sf\Rrightarrow x=0.5[/tex]

Put in eq(2)

[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]

[tex]\\ \sf\Rrightarrow y=1.5[/tex]

Done

Enter <, > or = to make the statement true. 17.001 [?] 17.0001​

Answers

Answer:

17.001>17.0001

Answer:

17.001>17.0001

Step-by-step explanation:

17.001 is greater than 17.0001

Evaluate the function for = and =.
()=−

Answers

Answer:Example: evaluate the function f(x) = 2x+4 for x=5

Just replace the variable "x" with "5":

f(5) = 2×5 + 4 = 14

Answer: f(5) = 14

Step-by-step explanation:

Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile

Answers

Answer:

The second one. 30 minutes ÷ 6 miles.

Step-by-step explanation:

You want to find how long it took Jamaal to run one mile.

30 minutes ÷ 6 miles = 5 minutes.

So Jamaal can run one mile in 5 minutes.

Option B, 30mins/6miles

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