Question

Pete estimates that he has spent $64.50 on supplies for his lawn mower. He charges $12 per lawn for his service. Write a linear model in the form y=mx+b where y represents the amount of profit Pete earns for mowing x number of lawns.

Answer 1

The equation representing the Amount of profit Peter earns is
`y=12x-64.5` .

Explanation:

Given:

Money spent on supplies = $64.50

Per lawn charge for mowing lawn = $12

Solution:

Let the amount of profit Pete earns be represented by 'y'.

Let the number of lawns to be mowed be represented by 'x'

Now we can say that:

Amount of profit Pete earns is equal to Per lawn charge for mowing lawn multiplied by number of lawns to be mowed minus Money spent on supplies.

framing in equation form we get;

`y=12x-64.5`

Hence The equation representing the Amount of profit Peter earns is
`y=12x-64.5` .