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.(1 point)

Question

The initial value is b=
b
=
, and the rate of change is m=
m
=
.

Answer 1

In this context, we can interpret the scenario as a function that describes the total cost (C) for attending the festival. The total cost can be broken down into two components: the fixed entrance fee and the variable cost associated with ride tickets.

1. Initial Value (b): This is the cost when no rides are taken. The entrance fee is $12, so the initial value is: \[ b = 12 \]

2. Rate of Change (m): This represents the cost per ride ticket. Each ride ticket costs $2, so the rate of change is: \[ m = 2 \]

Putting it all together, we have:

• The initial value \( b = 12 \)
• The rate of change \( m = 2 \)