Question

Mario earns money mowing his neighbors' lawns. The revenue for mowing x lawns is r(x) = 25x. Mario's cost for gas and the mower rental is c(x) = 6x + 15. his profit from mowing is x lawns is p(x) = (r-c)(x). What is p(x)

Answer 1

I know for this one the answer is p(x)=  19x-15

Answer 2

The value of p(x) is 19x - 15.

Explanation:

Given,

The revenue mowing x lawns is, r(x) = 25x.

Also, Mario's cost for gas and the mower rental is c(x) = 6x + 15.

Hence, his profit from mowing is x lawns is,

p(x) = (r-c)(x) = r(x) - c(x) ( Subtracting functions property )

By substituting values,

p(x) = 25x - ( 6x+ 15 )

= 25x - 6x - 15 ( Associative property )

= 19x - 15