Question

kenji, a caterer, is investing some money in equipment and employees to help grow his business. recently he spent $80 on equipment and hired a server who makes $10 per hour. kenji is hoping to make up these expenses at the next job that is scheduled, which pays a base of $50 in addition to $25 per hour that the server works. in theory, this event could pay enough to cancel out kenji’s expenditures. how much would the job pay? write a system of equations, graph them, and type the solution. dollars

Explanation:

Step1: Define Variables

Let \( h \) be the number of hours the server works, and \( y \) be the total amount (in dollars).

Step2: Write Expense Equation

Expenses: Initial \$80 + \$10 per hour. So \( y = 10h + 80 \).

Step3: Write Pay Equation

Pay: Base \$50 + \$25 per hour. So \( y = 25h + 50 \).

Step4: Solve System

Set \( 10h + 80 = 25h + 50 \).
Subtract \( 10h \): \( 80 = 15h + 50 \).
Subtract \( 50 \): \( 30 = 15h \).
Divide: \( h = 2 \).

Substitute \( h = 2 \) into pay equation: \( y = 25(2) + 50 = 50 + 50 = 100 \).

Answer:

100