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?

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 :

Substitute the values in the formula :

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:

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

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