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The question is incomplete. The complete question is :
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 expense?
Cost of lawn mower = $ 200
Cost of gasoline = $ 2 per lawn
Solution :
Given :
Cost of the lawn mower = $ 200
The cost of gasoline expense for one lawn = $ 2
The revenue generated for one lawn = $ 25
So let the number of lawn to be mowed = x
Therefore the total expenses =
So, the total revenue =
The point for which the revenue will exceed the total expenditure will be :
So at
Thus the revenue exceeds the total expenditure after mowing 9 number of lawns.
If the shapes are similar, the correspondent sides are in proportion:
Let's plug the values and solve for x:
Multiply both sides by x to get
The only feasible solution, though, is , because it wouldn't make sense to have negative lengths.