Question

A taxi company charges passengers $1.00 for a ride, and an additional $0.30 for each mile traveled. The function rule C(m)=0.3m+1 describes the relationship between the number of miles m and the total cost of the ride C. If the taxi company charges you $13.00 how far did you travel?

Answer 1

40 miles

Explanation:

Solve this by backtracking. 13.00=0.3m+1 when you subtract 13 and 1 you will get 12. With 12 you will now divde by 0.3, then you will get the answer which is 40. So m=40. Backtracking is like reverse PEMDAS.

Answer 2

m = 40 miles

He traveled 40 miles

Explanation:

The function is C(m) = 0.3m + 1 . According to the question the function describes the relationship between the number miles traveled(m) and the total cost of the ride(C) which is the sum of the charges of the passengers ride($1) and an additional cost of $0.30 for each mile traveled. m represent number of miles traveled in the function.

If the taxi company charges you $ 13.00(total cost), the distance one travels in miles can be computed as follows:

C = $13

m = ?

C(m) = 0.3(m) + 1

13 = 0.3m + 1

13 - 1 = 0.3m

0.3m = 12

divide both sides by 0.3

m = 12/0.3

m = 40 miles