Question

The cost of a taxi ride is a linear function of the distance traveled. If a 5-mile ride costs $12 and a 9-mile ride costs $14, which equation can be used to find the cost, c, for any distance, m, traveled?

a. c-12 = 1/2 (m-5)
b. c-12 = 2 (m-5)
c. c-9 = 1/2 (m-5)
d. c-9 = 2 (m-5)

Answer 1

slope = (14-12)/(9-5) = 2/4 = 1/2

equation

c - 12 = 1/2(m - 5)

so answer is
a. c-12 = 1/2 (m-5)

Answer 2

The equation used for find cost c for m distance travelled is
`(c-12)=(1)/(2) (m-5)` .

Option (a) is correct .

Explanation:

As given

The cost of a taxi ride is a linear function of the distance traveled.

As m represented the distance travelled and c represented the cost .

Thus

(m , c)

As given

If a 5-mile ride costs $12 and a 9-mile ride costs $14 .

(5,12) and (9,14)

Formula

`(c-c_(1))=(c_(2)-c_(1))/(m_(2)-m_(1)) (m-m_(1))`

Putting the values in the above

`(c-12)=(14-12)/(9-5) (m-5)`

`(c-12)=(2)/(4) (m-5)`

`(c-12)=(1)/(2) (m-5)`

Therefore the equation used for find cost c for m distance travelled is
`(c-12)=(1)/(2) (m-5)` .

Option (a) is correct .