Question

Tom's Bakery recently spent a total of $800 on new equipment, and their average hourlyoperating costs are $10. Their average hourly receipts are $90. The bakery will soon makeback the amount it invested in equipment. What would the total expenses and receipts bothequal?Write a system of equations, graph them, and type the solutionTimelapsedPAUD1.000Smarts.com0300600Dollars (9)400200.103040HoursCESreceiptdollars

Answer 1

The equation for the expenses of the bakery is $800+$10t, where t is given in hours. On the other hand, the equation that models the receipts is $90t, where t is in hours.

To find the value of t such that the expenses are equal to the receipt we need to solve the equation below

$\begin{gathered} 800+10t=90t \\ \Rightarrow800=90t-10t=80t \\ \Rightarrow t=10 \end{gathered}$

In dollars, this is

$90\cdot10=900$

The answer is $900 dollars

The graph of the equations is

The green line represents the expenses and the blue one the receipts