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.(1 point)

Answer 1

explain how you got the answer

Answer 2

In the given description, the entrance fee and ride tickets can be represented in the context of a cost function.

- The initial value (the base cost before any rides are taken) is the entrance fee, which is **$12**.
- The rate of change (the cost associated with each additional ride taken) is represented by the cost of ride tickets, which is **$2 per ride**.

In summary:
- Initial value: **$12**
- Rate of change: **$2 per ride**

Answer 3

To determine the initial value and the rate of change from the given description, I analyzed the components involved in the cost structure for the festival:

1. **Initial Value**: The initial value typically represents a fixed cost or starting point before any variable expenses are accounted for. In this scenario, the entrance fee to enter the festival is **$12 per person**. This fee must be paid regardless of how many rides a person chooses to take, making it the initial or starting cost of attending the festival. Thus, the initial value is **$12**.

2. **Rate of Change**: A rate of change indicates how much an additional increment affects the total cost. In this case, each ride requires additional spending on ride tickets. The description states that ride tickets cost **$2 for every ride**. This means for each ride a person takes, the total cost increases by **$2**. Therefore, the rate of change with respect to the number of rides is **$2 per ride**.

By summarizing these points, it's clear that the initial value is the upfront cost of entering the festival and the rate of change pertains to the ongoing cost of enjoying additional rides.