https://file.aiquickdraw.com/mathbot/file/17296322012215xdqx785.jpg

To calculate the unit rate of change for the data in the table, we can compute the ratio of the "Total Cost of Raffle Tickets" to the "Number of Raffle Tickets" for each pair.

The data provided is:

| Number of Raffle Tickets | Total Cost of Raffle Tickets (in Dollars) |
|--------------------------|------------------------------------------|
| 2                        | 1                                        |
| 4                        | 2                                        |
| 8                        | 4                                        |
| 10                       | 5                                        |

### Step-by-Step Calculation:
The unit rate of change is essentially the slope (or rate) between the number of raffle tickets and their total cost. Since the rate of change is constant, we can take any two points to compute the rate.

1. Take two points: (2, 1) and (4, 2).

   The unit rate of change is:
   \[
   \text{Unit Rate} = \frac{\Delta \text{Cost}}{\Delta \text{Tickets}} = \frac{2 - 1}{4 - 2} = \frac{1}{2}
   \]

This means the cost increases by $1 for every 2 tickets.

Thus, the unit rate of change is **$0.50 per ticket**.

Would you like any further details or clarifications on this?

Here are 5 additional questions related to this concept:
1. What would the total cost be if you bought 12 raffle tickets?
2. How can you express the relationship between the number of tickets and the total cost as a linear equation?
3. What is the significance of a constant rate of change in this table?
4. How would the table change if the rate of change was $0.75 per ticket instead?
5. Can you plot the data on a graph and describe the line formed?

**Tip**: Always use at least two points to verify that the rate of change is consistent across the table.

Calculate the unit rate of change for the data in the table. The rate of change is constant for the data.

Learn how to calculate the unit rate of change for raffle tickets using data from a table. This problem involves computing the ratio between the total cost and the number of tickets, using concepts like linear relationships and constant rates of change.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation