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)

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

To determine the initial value and the rate of change from the description provided:

  1. Initial Value (b): This typically represents the fixed cost or starting point before any variable costs are added. In this scenario, the entrance fee is a one-time cost per person, so the initial value is: \[ b = 12 \]

  2. Rate of Change (m): This represents the incremental cost for each additional ride. In this case, the cost of ride tickets is $2 per ride, so the rate of change is: \[ m = 2 \]

In summary:

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