Question

Vijay's Bakery recently spent a total of $150 on new equipment, and their average hourly operating costs are $10. Their average hourly receipts are $25. The bakery will soon make back the amount it invested in equipment. What would the total expenses and receipts both equal?

Write a system of equations, graph them, and type the solution.

(you don’t have to graph, i just need the system of equations please)

Answer 1

The system of equation is y = 25x and y = 150x + 10

How to determine the system of equations

Let x be the number of hours of operation.

The total expenses are the sum of the initial investment in equipment ($150) and the operating costs ($10 per hour):

So, we have

y = 150x + 10

The total receipts are the product of the average hourly receipts ($25 per hour) and the number of hours of operation (x):

So, we have

y = 25x

So, the system of equation is y = 25x and y = 150x + 10