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Sagot :
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 = [tex]$200+2x$[/tex]
So, the total revenue = [tex]$25x$[/tex]
The point for which the revenue will exceed the total expenditure will be :
[tex]$25x \geq 200+2x$[/tex]
So at [tex]x=9, \ 225 > 218[/tex]
Thus the revenue exceeds the total expenditure after mowing 9 number of lawns.
Answer:
For part a and b of this question
Step-by-step explanation:
x= # of lawns cut y= total cost
revenue: y=25x
cost: y= -2x-200
He earns 25 per lawn, but loses $200 for his lawnmower and $2 per lawn.
b. y=25x y=-2x-200 y=25x
y=-2x-200 25x=-2x-200 y=25(-7.40)
27x= -200 y=-185
x=-7.40
I believe this is correct.
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