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.\nanswer attempt 1 out of 2\nlet \nlet \nsystem 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.\nanswer attempt 1 out of 2\nlet \nlet \nsystem of equations:

Answer

Explanation:

Step1: Define variables

Let $h$ = the number of hours the worker worked. Let $s$ = the number of shirts the worker made.

Step2: Write labor - cost equation

The labor cost is $28$ dollars per hour. So the labor - cost part of the total expense is $28h$.

Step3: Write material - cost equation

The material cost is $2$ dollars per shirt. So the material - cost part of the total expense is $2s$.

Step4: Write total - expense equation

The total expenses for labor and materials were $144$ dollars. So, $28h + 2s=144$.

Step5: Write production - rate equation

The worker created an average of 4 shirts per hour. So, $s = 4h$.

Answer:

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