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

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.

ckg7494 ckg7494 · Answer 2 · 2021-03-04T16:23:04+01:00

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.