Question

Suppose you are going into business mowing lawns. You
have purchased a lawn mower for $200. Gas and oil costs
you $1.50 per lawn. You are charging $15 per lawn. How
many lawns must you mow to break even?

Answer 1

Answer:

15 lawns

Step-by-step explanation:

Let

x ----> the number of lawns

y ----> the profit mowing lawns

we know that

The profit is equal to the revenue minus the costs

so

$y=15x-1.50x-200$

$y=13.50x-200$

Break even means that the revenue is equal to the cost (profit is equal to zero)

so

For y=0

$0=13.50x-200$

$13.50x=200$

$x=14.8$

Round up

15 lawns