Question 3 of 10

Question

The cost, c(x), for a taxi ride is given by c(x) = 2x + 3.00, where x is the
number of minutes. What does the slope mean for this situation?
A. The taxi ride costs $2.00 per trip.
• B. The taxi ride costs a total of $3.00.
• C. The rate of change of the cost of the taxi ride is $3.00 per minute.
• D. The rate of change of the cost of the taxi ride is $2.00 per minute.

Answer 1

The cost function for the taxi ride is given by \( c(x) = 2x + 3.00 \), where \( x \) is the number of minutes. In this linear equation, the slope is represented by the coefficient of \( x \), which is 2.

The slope represents the rate of change of the cost with respect to the time (in minutes) spent on the ride. In this case, it means that for every additional minute of the taxi ride, the cost increases by $2.00.

Thus, the correct interpretation of the slope in this situation is:

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