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?

1 answer

In the cost function \( c(x) = 2x + 4.00 \), the slope is represented by the coefficient of \( x \), which is 2.

In this context, the slope indicates the rate of change of the cost with respect to time. Specifically, it means that for each additional minute of the taxi ride, the cost increases by $2. This reflects the per-minute charge of the taxi service.

In summary, the slope of 2 means that the taxi charges $2 for each minute of the ride.