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) =1440.50 x - ( 12 ) = 1440.50x−(12) =144 solution: 240
B) equation: 0.50x−8(12) =1440.50 x - 8 ( 12 ) = 1440.50x−8(12) =144 solution: 1
C) equation: 8(12) +x=1448 ( 12 ) + x = 1448(12) +x=144 solution: 48
D) equation: 8(12) +0.50x=1448 ( 12 ) + 0.50 x = 1448(12) +0.50x=144 solution: 96
E) equation: x−8(12) =144x - 8 ( 12 ) = 144x−8(12) =144 solution: 999
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 CamachoJul 14, 2024
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.