Answer:
[tex]29x+2.50(5x)=290.5[/tex]
Step-by-step explanation:
Let x be the number of working hours
She must pay the worker $29 per hour
So, Cost of labor for x hours = 29 x
The worker created an average of 5 shirts per hour
So, no. of shirts produced in x hours = 5x
Cost of 1 shirt = 2.50
Cost of 5x shirts = 2.50(5x)
Total expenses for labor and materials = [tex]29x+2.50(5x)[/tex]
We are given that Nicole's total expenses for labor and materials were $290.50
So, [tex]29x+2.50(5x)=290.5[/tex]
[tex]29x+12.5x=290.5[/tex]
[tex]41.5x=290.5[/tex]
[tex]x=7[/tex]
Hence 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 is [tex]29x+2.50(5x)=290.5[/tex]