Question

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.

Answer 1

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

Answer 2

Answer is option c

Explanation:

Given that the cost, c(x), for a taxi ride is given by c(x) = 2x + 4.00, where x is the number of minutes.

We find that whenever 1 minute increases cost increases by 2 dollars.

Hence rate of change of cost with respect to minute of taxi ride = 2 dollas

i.e. this is of the form y=mx+b where

m =2 is the slope or rate of change and

b = 4 is the fixed charge even for 0 minute.

Thus option C is right