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?

Answer 1

It's A

Explanation:

Edge 2020;)

Answer 2

`2c=m+19`

Explanation:

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

To Find: 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?

Solution:

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

We are given that a 5-mile ride costs $12 and a 9-mile ride costs $14

So, Points are (5,12) and ( 9,14)

Now to find an equation can be used to find the cost, c, for any distance, m, traveled

We will use two point slope form.

Formula :
`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`(x_1,y_1)=(5,12)`

`(x_2,y_2)=(9,14)`

Substitute the values in the formula :

`y-12=(14-12)/(9-5)(x-5)`

`y-12=(2)/(4)(x-5)`

`y-12=(1)/(2)(x-5)`

`2y-24=x-5`

`2y=x+19`

where x is the distance and y is the cost

Let us say m denotes the distance and c denotes the cost

So, equation becomes:
`2c=m+19`

Hence an equation can be used to find the cost, c, for any distance, m, traveled is
`2c=m+19`