The cost, c(x), for a taxi ride is given by c(x) = 2x + 4.00, where x is the number of minutes. What does the slope mean for this situation
A. The taxi ride costs a total of $4.00

B. The taxi ride costs $2.00 per trip.

C. The rate of change of the cost of the taxi ride is $2.00 per minute.

D. The rate of change of the cost of the taxi ride is $4.00 per minute.

Respuesta :

As m is a constant that is applied to x, it has to have something to do with minutes, eliminating A and B. As the constant is 2, it has to have something to with 2, eliminating D, meaning your answer is C. This is because a slope is the rate of change of y in relation to x, so it would be rate of change of y is a (a being your constant, in this case 2) per x. With your case, y is cost and x is minutes, leading to answer choice C.

The interpretation is (c) the rate of change of the cost of the taxi ride is $2.00 per minute.

How to interpret the slope?

The function is given as:

c(x) = 2x + 4.00

A linear equation is represented as:

c(x) = Slope * x + y-intercept

By comparison, we have:

Slope = 2

This means that the slope of c(x) = 2x + 4.00 is 2

Hence, the interpretation is (c) the rate of change of the cost of the taxi ride is $2.00 per minute.

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