Question

A taxi company charges $2.25 per ride plus $0.30 per mile. Enter a linear model represents the cost, C, as a function of d, the number of miles of the ride.

Answer 1

The linear model representing the cost, C, as a function of the number of miles, d, for the taxi company's pricing structure is C = 2.25 + 0.30d. The base fare is $2.25 and the cost per mile is $0.30.

Step-by-step explanation:

The cost, C, of a taxi ride as a function of the number of miles, d, can be represented by a linear equation. The equation starts with a base fare, which is a flat rate charged regardless of the distance, and adds a variable cost, which is proportional to the miles traveled. In this case, the taxi company charges $2.25 per ride plus $0.30 per mile.

To write the linear model, we combine these costs into the equation C = 2.25 + 0.30d. Here, 2.25 represents the flat base fare and 0.30 is the cost per mile, making the variable d the number of miles traveled. This linear model will allow you to calculate the total cost of the ride by substituting in the distance traveled for d.

Answer 2

C(d) = d(2.25) + m(0.3)

Step-by-step explanation:

A taxi company charges $2.25 per ride plus $0.30 per mile.

Let d represent number of rides..

Let m represent number of Miles...

Then let C represent the total cost for each ride at a specific number of Miles.

The linear model representing the cost as a function of d the total ride

C(d) = d(2.25) + m(0.3)

The values stand independently because the customer can choose a different right and a different mile.