Asked by Ebani Thomas on Jul 09, 2024

Verified

You have a job on an assembly line for which you are paid $12 per hour plus $0.50 per unit assembled. Write an algebraic model to find the number of units produced in an eight-hour day if your earnings for the day are $144 and then solve the resulting algebraic equation. Round your solution to the nearest integer.

A) equation: $0.50x−(12)=144$ solution: 240

B) equation: $0.50x−8(12)=144$ solution: 1

C) equation: $8(12)+x=144$ solution: 48

D) equation: $8(12)+0.50x=144$ solution: 96

E) equation: $x−8(12)=144$ solution: $9$

A) equation: $0.50x−(12)=144$ solution: 240

B) equation: $0.50x−8(12)=144$ solution: 1

C) equation: $8(12)+x=144$ solution: 48

D) equation: $8(12)+0.50x=144$ solution: 96

E) equation: $x−8(12)=144$ solution: $9$

Algebraic Model

A mathematical model that uses algebraic expressions to represent real-world situations.

Assembly Line

A manufacturing process in which parts are added to a product in a sequential manner to create a finished product efficiently.

- Utilize algebraic methods to resolve practical issues related to perimeters and durations of tasks.

Verified Answer

KC

Kimberly Camacho

1 week ago

Final Answer :

D

Explanation :

The equation should be the total amount earned equals the hourly rate times the number of hours plus the unit rate times the number of units. Thus, the equation is $144 = 8(12) + 0.50x$. Solving for x, we get $x=96$. This means the worker produced 96 units in the eight-hour day.

## Learning Objectives

- Utilize algebraic methods to resolve practical issues related to perimeters and durations of tasks.