Question

Maria earns money from working at the pet store and answering phones. She earns $12 each hour she works at the pet store and $0.55 for each phone call she answers. Maria answered 80 phone calls and earned $140 last week

Part A: Create an equation that will determine the number of hours she worked at the pet store.
Part B: Solve this equation, justifying each step with an algebraic property of equality.
Part C: How many hours did Maria work at the pet store last week?

Answer 1

A. 12x + 80(0.55) = 140

C. She worked 8 hours

Step-by-step explanation:

12x + 80(0.55) = 140

B. 12x + 44 = 140

12x + 44 - 44 = 140 - 44

12x = 96

12x/12 = 96/12

x = 8

Answer 2

Part A: The equation to determine the number of hours Maria worked at the pet store is 140 = (hours worked at the pet store) x 12 + 80 x 0.55. Part B: Solve the equation to find that (hours worked at the pet store) is 8. Part C: Maria worked at the pet store for 8 hours last week.

Step-by-step explanation:

Part A: To create an equation that will determine the number of hours Maria worked at the pet store, we can use the formula:

Total earnings = (hours worked at the pet store) x (earnings per hour at the pet store) + (number of phone calls) x (earnings per phone call)

Given that Maria earned $140 and answered 80 phone calls, we can write the equation as:

140 = (hours worked at the pet store) x 12 + 80 x 0.55

Part B: To solve this equation, we need to isolate the variable of interest, which is the number of hours worked at the pet store.

140 - (80 x 0.55) = (hours worked at the pet store) x 12

140 - 44 = (hours worked at the pet store) x 12

96 = (hours worked at the pet store) x 12

To find the number of hours worked at the pet store, we can divide both sides of the equation by 12:

(hours worked at the pet store) = 96 ÷ 12

(hours worked at the pet store) = 8

Part C: Maria worked at the pet store for 8 hours last week.