Question

the sunshine rental company rents cars for $17 per day plus 50 cents per mole driven the rent me company rents cars for $20 per day plus 36 cents per mile driven when will the two companies be equal in cost

Answer 1

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

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

sunshine rental company

The slope is equal to

$m=\ 0.50\ per\ mile$

The y-intercept is equal to

$b=\ 17$

substitute

$y=0.50x+17$ ----> equation A

rent me company

The slope is equal to

$m=\ 0.36\ per\ mile$

The y-intercept is equal to

$b=\ 20$

substitute

$y=0.36x+20$ ----> equation B

equate equation A and equation B

$0.50x+17=0.36x+20$

solve for x

$0.50x-0.36x=20-17\\0.14x=3\\x=21.43\ miles$