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
[tex]\begin{gathered} 800+10t=90t \\ \Rightarrow800=90t-10t=80t \\ \Rightarrow t=10 \end{gathered}[/tex]
In dollars, this is
[tex]90\cdot10=900[/tex]
The answer is $900 dollars
The graph of the equations is
The green line represents the expenses and the blue one the receipts
