Question

Peter cuts lawns and makes $40 per lawn. He spends $10/day in work expenses. Write an equation in the form y = mx + b to represent this situation.

Answer 1

Answer: y= 40x-10 , where = number of lawns.

Explanation:

In linear equation y= mx+b with one variable x, m= slope , b= y-intercept.

[Slope rate of change of y with respect to x, y-intercept = initial value of y at x=0]

Given: Peter cuts lawns and makes $40 per lawn.

let x = number of lawns

i.e. slope = $40

He spends $10/day in work expenses.

i.e. y-intercept = -10 [for each day]

So equation becomes : y= 40x-10 , where = number of lawns.