Question

Primo car rental agency charges ​$24 per day plus ​$0.40 per mile. Ultimo car rental agency charges ​$38 per day plus ​$0.90 per mile. Find the daily mileage for which the Ultimo charge is twice the Primo charge. The mileage is _____. .

Answer 1

when the distance driven per day is 100 miles

Explanation:

Start by writing an equation for the daily charge of each company

Let's call p(x) what the primo car rental charges per mile "x", and let's call u(x) what ultimo rental charges;

p(x) = 24 + 0.4 x

u(x) = 38 + 0.9 x

when would u(x) be twice the p(x) charge?

u(x) = 2 p(x)

38 + 0.9 x = 48 + 0.8 x

0.9 x - 0.8 x = 48 - 38

0.1 x = 10

x = 100

so, such happens when the distance driven per day is 100 miles