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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.

The Tables Show The Amount Earned By James And Paco Working At The Same StoreWhat Two Equations Can Represent James And Pacos Hourly Wages Where H Is The Number class=

Sagot :

reyloforlife

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.

karlamidori

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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