Nate starts a lawn – mowing business. In his business he has expenses and revenue. Nate’s expenses are the cost of the lawn mower and gas and his revenue is $25 per lawn. At What point will Nate’s revenue exceed his expenses?

The correct answer is: The no.of laws to be mowed so that revenue exceed his expenses is 9.

Ans :- The no.of laws to be mowed so that revenue exceed his expenses is 9.
Explanation :-
let n be the no.of laws to be mowed so that revenue exceed his expenses
Step 1:- find the total revenue and expense of n lawns
Revenue per lawn = $25
Total revenue per n lawns = 25n
The expense are cost of the lawn mower $200(one time expense) and gas $2 per lawn.
So the total expense per n lawns =  cost of lawn mower + cost of gasoline per lawn × no.of lawns.
Total expense = $200 + 2n
Step 2 :- Applying condition to find n.
revenue exceed his expenses
25n > 200 + 2 n
23 n > 200
n > 8.7
∴ n = 9
∴The no.of laws to be mowed so that revenue exceed his expenses is 9.