Alan repairs televisons. His revenue is modeled by the function r(h)=47+2h for every h hours he spends repairing televisions. His overhead cost is modeled by the function c(h)=5h2-25 dollars. After how many hours does he break even

3.6 hours

Step-by-step explanation:

Alan's revenue function is given by:

for every h hours he spends repairing televisions.

His overhead cost is modeled by the function:

To find the number of hours Alan breaks even, we need to equate the functions and solve for h.

We rewrite in standard form:

This gives:

Using the quadratic formula:

This gives:

Since time is not negative, he breaks even after 3.6 hours.