Answer:
After 5 hours
Step-by-step explanation:
Given
[tex]p(x) = 45 + 35x[/tex]
Required
Determine what time the budget would exceed $220
To do this, we simply substitute 220 for p(x)
[tex]220 = 45 + 35x[/tex]
[tex]220 - 45 = 35x[/tex]
[tex]175= 35x[/tex]
Solve for x
[tex]x = 175/35[/tex]
[tex]x = 5[/tex]
So, Mr. Barnes would exceed his budget after 5 hours