Question

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

Answer 1

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 = $200+2x$

So, the total revenue = $25x$

The point for which the revenue will exceed the total expenditure will be :

$25x \geq 200+2x$

So at $x=9, \ 225 > 218$

Thus the revenue exceeds the total expenditure after mowing 9 number of lawns.

Answer 2

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.