The tables show the amount earned by James and Paco working at the same store.
What two equations can represent James and Paco's hourly wages, where h is the number of hours worked and d is the amount of money earned?
Compare the equations to determine if there is any difference between what James and Paco make each hour.
Answers
Answer:
Step-by-step explanation:
In order to determine if James and Paco earn different amounts of money per hour, you must find how much money they make in one hour.
James:
James makes $35.40 in 3 hours. So, in 1 hour, he would make 35.40/3 = 11.8.
James makes $11.80 an hour.
Therefore, his equation would be d = 11.8h
Paco:
Paco makes $24.00 in 2 hours. So, in 1 hour, he would make 24/2 = 12.
Paco makes $12.00 an hour.
Therefore, his equation would be d = 12h
Hence, Paco and James make different amounts of money. Paco makes 20 cents, or $0.20, more than James.
Answer:
d(James) = 11.8h
d(Paco) = 12h
Paco makes $0.20/h more than James
Step-by-step explanation:
equation: y = ax + b
James:
d(Amount of money earned) = ah(number of hours worked) + b
If James worked 3 hours: 3a + b = 35.4
If James worked 5 hours: 5a + b = 59
If
3a + b = 35.4
b = 35.4 - 3a
Then
5a + b = 59
5a + 35.4 - 3a = 59
2a = 59 - 35.4
2a = 23.6
a = 23.6/2
a = 11.8
If a = 11.8, then
3a + b = 35.4
3(11.8) + b = 35.4
35.4 + b = 35.4
b = 0
If a = 11.8 and b = 0
d(Amount of money earned) = ah(number of hours worked) + b
d = 11.8h
Each hour James works, he makes $11.8
Paco:
d(Amount of money earned) = ah(number of hours worked) + b
If Paco worked 2 hours: 2a + b = 24
If Paco worked 4 hours: 4a + b = 48
If
2a + b = 24
b = 24 - 2a
Then
4a + b = 48
4a + 24 - 2a = 48
2a = 48 - 24
2a = 24
a = 24/2
a = 12
If a = 12, then
2a + b = 24
2(12) + b = 24
24 + b = 24
b = 24 - 24
b = 0
If a = 12 and b = 0
d(Amount of money earned) = ah(number of hours worked) + b
d = 12h
Each hour Paco works, he makes $12
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