aaliyah owns a small textile company that produces shirts. on a particular day, aaliyah has one worker come…

aaliyah owns a small textile company that produces shirts. on a particular day, aaliyah has one worker come into the shop to make shirts. she must pay the worker $28 per hour and also pay $2 per shirt for material costs. the worker created an average of 4 shirts per hour and aaliyahs total expenses for labor and materials were $144. write a system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made. define the variables that you use to write the system. answer attempt 1 out of 2 let = let = system of equations:

aaliyah owns a small textile company that produces shirts. on a particular day, aaliyah has one worker come into the shop to make shirts. she must pay the worker $28 per hour and also pay $2 per shirt for material costs. the worker created an average of 4 shirts per hour and aaliyahs total expenses for labor and materials were $144. write a system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made. define the variables that you use to write the system. answer attempt 1 out of 2 let = let = system of equations:

Answer

Explanation:

Step1: Define the variables

Let $x$ be the number of hours the worker worked. Let $y$ be the number of shirts the worker made.

Step2: Establish the relationship between hours and shirts

Since the worker creates 4 shirts per hour, we have the equation $y = 4x$.

Step3: Set - up the cost - equation

The labor cost is $28x$ (since the worker is paid $28$ per hour) and the material cost is $2y$ (since it's $2$ per shirt). The total cost is $144$. So the equation is $28x+2y = 144$.

Answer:

Let $x$ = the number of hours the worker worked. Let $y$ = the number of shirts the worker made. System of Equations: $y = 4x$ $28x + 2y=144$