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

AThe taxi ride costs a total of $4.00

BThe taxi ride costs $2.00 per trip.

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

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

Question

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09-12-2016
Mathematics

Answered

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

AThe taxi ride costs a total of $4.00

BThe taxi ride costs $2.00 per trip.

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

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

Verified Answer :

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1davey29 1davey29 · Answer 1 · 2016-12-09T09:12:09-05:00

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.

MrRoyal MrRoyal · Answer 2 · 2022-07-07T05:36:14-04:00

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.