Question

Becca earns money mowing her neighbors' lawns.

The revenue for mowing x lawns is r(x) = 18x.
Becca's cost for gas and the mower rental is c(x) = 5x + 20.

Her profit from mowing x lawns is p(x) = (r – c)(x). What is p(x)?

Answer 1

p(x) = 18x - (5x + 20)
p(x) = 18x - 5x - 20
p(x) = 13x - 20 <===

Answer 2

Answer:
`p(x)= 13x-20`

Explanation:

Given: The revenue for mowing x lawns is
`r(x) = 18x` .

Becca's cost for gas and the mower rental is c(x) = 5x + 20

The profit from mowing x lawns is given by :-

`p(x)=(r-c)(x)`

The above function can be written as

`p(x)=(r-c)(x)=r(x)-c(x)\\\\\Rightarrow p(x)= 18x-(5x+20)\\\\\Rightarrow p(x)= 18x-5x-20\\\\\Rightarrow p(x)= 13x-20`