Answer:
21.43 miles
Step-by-step explanation:
Let
x ---> the number of miles
y ---> the total cost of rent a car per day
we know that
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
sunshine rental company
The slope is equal to
[tex]m=\$0.50\ per\ mile[/tex]
The y-intercept is equal to
[tex]b=\$17[/tex]
substitute
[tex]y=0.50x+17[/tex] ----> equation A
rent me company
The slope is equal to
[tex]m=\$0.36\ per\ mile[/tex]
The y-intercept is equal to
[tex]b=\$20[/tex]
substitute
[tex]y=0.36x+20[/tex] ----> equation B
equate equation A and equation B
[tex]0.50x+17=0.36x+20[/tex]
solve for x
[tex]0.50x-0.36x=20-17\\0.14x=3\\x=21.43\ miles[/tex]
