Question

Need help ASAP

The rental rate for a power washer has a one time fee of $50 plus $25 for each day of the rental.

The graph shows points representing the total cost of the rental.
Which linear equation, in slope-intercept form, that models the total cost of the rental over time?

A.y=75xy=75x

B.y=25x+50y=25x+50

C.y=x+50y=x+50

D.y=25xy=25x

E.y=50x+25

Answer 1

B. ........................................

Answer 2

B. y=25x+50

Explanation:

We need to use two points on the line: (0,50) and (2,100).

Then, we find the slope with the formula

`m=(y_(2)-y_(1) )/(x_(2) -x_(1) )\\ m=(100-50)/(2-0)=(50)/(2)=25`

Then, we use the point-slope formula to find the equation

`y-y_(1) =m(x-x_(1) )\\y-50=25(x-0)\\y=25x+50`

Therefore, the right answer is B.