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Math  /  Algebra

Question15. Sara works at a store where she earns $13.50\$ 13.50 per hour. a. Write an equation that shows the relationship between the total amount of money in dollars Sara earns dd and the number of hours she works hh. d=13.50d=13.50 xhx h b. Sara works 35 hours. How much money does she earn? d=47d=47 2:52: 5 0 c. How many hours does Sara work to earn $675\$ 675 ?

Studdy Solution

STEP 1

1. Sara earns 13.50 per hour.
2. We need to find the relationship between total earnings \(d\) and hours worked \(h\).
3. We need to calculate Sara's earnings for 35 hours of work.
4. We need to find out how many hours Sara needs to work to earn 675.

STEP 2

1. Write an equation for the relationship between earnings and hours worked.
2. Calculate earnings for a given number of hours.
3. Calculate the number of hours needed to earn a specific amount.

STEP 3

Write an equation that shows the relationship between the total amount of money in dollars dd and the number of hours she works hh.
The equation is:
d=13.50×h d = 13.50 \times h

STEP 4

Calculate how much money Sara earns for 35 hours of work.
Substitute h=35 h = 35 into the equation:
d=13.50×35 d = 13.50 \times 35
Calculate:
d=472.50 d = 472.50
Sara earns $472.50 \$472.50 for 35 hours of work.

STEP 5

Calculate how many hours Sara needs to work to earn $675.
We have the equation:
d=13.50×h d = 13.50 \times h
Substitute d=675 d = 675 and solve for h h :
675=13.50×h 675 = 13.50 \times h
Divide both sides by 13.50 to isolate h h :
h=67513.50 h = \frac{675}{13.50}
Calculate:
h=50 h = 50
Sara needs to work 50 hours to earn $675.

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