Question

Determine the initial value and the rate of change in the following description. At a local festival, the entrance fee is $12 per person, and ride tickets cost $2 for every ride.

Answer 1

Let r = number of rides. Total cost C(r) = 12 + 2r.

Initial value: 12 (dollars) — the cost when r = 0 (entrance fee).
Rate of change: 2 (dollars per ride) — the increase in cost for each additional ride.