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= ___
and the rate of change is m=

Answer 1

In this scenario, the initial value and the rate of change can be understood in the context of a linear equation that describes the total cost for a person attending the festival and going on rides.

1. Initial Value (b): The initial value represents the cost before any rides are taken. In this case, it is the entrance fee, which is $12. So, \[ b = 12 \]

2. Rate of Change (m): The rate of change represents how much the total cost increases with each additional ride taken. Each ride ticket costs $2, so the rate of change is \[ m = 2 \]

Therefore, the answers are:

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