V(t), left parenthesis, t, right parenthesis models the number of visitors in a park as a function of the outside temperature t (in degrees Celsius).

Look at picture posted below.
t 18 20 37
------------------------
v(t) 10 18 46

When does the number of visitors in the park increase faster?
Choose 1 answer:
(A). Between outside temperatures of 181818 degrees Celsius and 202020 degrees Celsius
(B). Between outside temperatures of 202020 degrees Celsius and 272727 degrees Celsius
(C).The number of visitors increases at the same rate over both intervals

Answer:

The number of visitors increases at the same rate over both intervals

Step-by-step explanation:

The unit rate at which the number of visitors in the park increases over a given temperature interval is called the average rate of change, or ARCARCA, R, C.

To find the average rate of change of a function over an interval, we need to take the total change in the function value over the interval and divide it by the length of the interval.

Hint #22 / 3

We are asked to compare the rates at which the number of visitors increases over the interval between an outside temperature of 181818 degrees Celsius and 202020 degrees Celsius, and over the interval between an outside temperature of 202020 degrees Celsius and 272727 degrees Celsius. These correspond to the domain intervals [18,20][18,20]open bracket, 18, comma, 20, close bracket and [20,27][20,27]open bracket, 20, comma, 27, close bracket.

Let's calculate the average rate of change of VVV over those intervals:

ARC_{[18,20]}ARC

[18,20]

​

A, R, C, start subscript, open bracket, 18, comma, 20, close bracket, end subscript ARC_{[20,27]}ARC

[20,27]

​

A, R, C, start subscript, open bracket, 20, comma, 27, close bracket, end subscript

\begin{aligned} \dfrac{V(20)-V(18)}{20-18}&=\dfrac{18-10}{2}\\\\&=\dfrac{8}{2}\\\\&=4\end{aligned}\quad

20−18

V(20)−V(18)

​

​

=

2

18−10

​

=

2

8

​

=4

​

 \begin{aligned} \dfrac{V(27)-V(20)}{27-20}&=\dfrac{46-18}{7}\\\\&=\dfrac{28}{7}\\\\&=4\end{aligned}

27−20

V(27)−V(20)

​

​

=

7

46−18

​

=

7

28

​

=4

​

Hint #33 / 3

The average rate of change over the interval [18,20][18,20]open bracket, 18, comma, 20, close bracket is the same as the average rate of change over the interval [20,27][20,27]open bracket, 20, comma, 27, close bracket.

Therefore, the number of visitors increases at the same rate over both intervals.

Using the average rate of change, it is found that the correct option is:

(A) Between outside temperatures of 18 degrees Celsius and 20 degrees Celsius.

The rate of change of a function is given by the change in the output divided by the change in the input.

When the temperature changes from 18 to 20 degrees, the number of visitors increase from 10 to 18, thus, the rate of change is:

[tex]r = \frac{18 - 10}{20 - 18} = \frac{8}{2} = 4[/tex]

When the temperature changes from 20 to 37 degrees, the number of visitors increase from 18 to 46, thus, the rate of change is:

[tex]r = \frac{46 - 18}{37 - 20} = \frac{28}{17} = 1.65[/tex]

First case has higher rate of change, thus, option A is correct.

A similar problem is given at https://brainly.com/question/20732437

1)50% of 60 2) 8 out of 80 is what percent?

please answer correctly
will mark brainlest 1hour to complete

.
Choose the correct answer to 318 x 6.
1,808
1,906
1,918
1,908

*15 points* any help would be appreciated plz

What’s the square root of 8 and 75 and 20 and 300 and 15

#not help asap

A

B

C

Neither of them

Mr Chin bought 3.8 kg of candy, nearest to
100g. What is the least amount of candy in the
bag to nearest kilogram.

An art teacher needs to cut out squares of paper for an art project from a left-over sheet of paper measuring 72 x 104 inches. What size would the biggest possible square be with sides of whole number length?

2.
Turkey for sandwiches costs $7.75 per pound. What equation best represents
y, the total cost of x pounds of turkey?
a. X = 7.75 + y
b. X = 7.75y
C. Y = 7.75 + x
d. Y = 7.75x

Best Buy is having a sale and all of their iPad’s are 20% off. The regular price for an iPad is $450.

Part I:
How much money will you save buying the iPad on sale?


Part II:
What is the final cost of the iPad when it is on sale?

What is this equation in slope-intercept form, 5х – бу = -15?

The best bagel company bakes 1,872.they put a bakers dozen ,or 13 bagels, into each bag. How many bags do they fill

Henry can run 12 laps in 30 minutes. How long will it take him to run 16 laps.

-3y + 12 = -8x


anyone know how to do this. I need it in y=mx+b and Ax+By=C
slope intercept form and standard form​

Help me please!?!?!?!?????

0.5 in simplest form

At the same time a 15-foot pole casts a 7.5-foot shadow; a nearby tree casts a 24-foot
shadow. How tall is the tree?

Will give brainliest if I can.

1. How are polynomials added and subtracted?
2. Write the expression 81^2-80^2 using a difference of squares pattern. What is the solution?
3. What is the common denominator of (ab)/c + (xy)/z?

I need help with this equation

Can someone please please help me. ?????

Which of the following equations represents a line that passes through the points (−6,0) and (2,−4)

ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST

A pound of chocolate costs 8 dollars. Lamar buys p pounds. Write an equation to represent the total cost ċ that Lamar
pays.

Given: 4d=1/3(c-d) Proof= c=13d

help please :DDDD kinda confused

What is the equation of the line with a y-intercept of -10 and a slope of 3?
A.y = -102 - 3
B.y=-10x +3
C.y= 3x - 10
D.y= 3a + 10

Apack of batteries that contains nine batteries costs $20. Determine the cost per battery

Evaluate the exponential expression using the order of operations.



(6+3)4

8 increased by the sum of t and 3