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 should be  c=0.5m+9.5

Answer 2

Answer:

$2c=m+19$

Step-by-step 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 : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

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

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

Substitute the values in the formula :

$y-12=\frac{14-12}{9-5}(x-5)$

$y-12=\frac{2}{4}(x-5)$

$y-12=\frac{1}{2}(x-5)$

$2y-24=x-5$

$2y=x+19$

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  $2c=m+19$