Question

On a two week job, a repairman works a total of 70 hours. He charges $75 plus $40 per hour. An equation shows the relationship where x is the number of hours and y is the total fee. Write the equation. What is the slope and y-intercept?

Answer 1

y=40x+75
40 is the slope and the y-intercept is 75

Answer 2

m = 40

b = 75

Explanation:

If he charges $75, that is an initial condition, which won't variate, it's an independent term. Then the problem states that he charge $40 per hour, where hours is define as
`x`. If
`y` is the total fee, then the equation that model this problem is:

`y=40x+75`

Which is the slope-intercept form
`y=mx+b`

So, the slope is 40, and the y-axis interception is 75. That is

`m=40\\b=75`