To determine the rate of change and its interpretation in the context of the amusement park ticket costs, we would typically start with a table showing ticket prices, likely based on factors such as age or the number of tickets purchased.
Example Table of Ticket Costs
| Age Group | Ticket Price | |-----------------|--------------| | Children (0-12)| $30 | | Adults (13-64) | $50 | | Seniors (65+) | $40 |
Step 1: Calculate the Rate of Change
Suppose you want to find the rate of change between children and adults:
- Change in cost: \(50 - 30 = 20\)
- Change in age group: \(13 - 0 = 13\)
Rate of Change: \[ \text{Rate of Change} = \frac{\text{Change in Cost}}{\text{Change in Age}} = \frac{20}{13} \approx 1.54 \text{ dollars per year} \]
Interpretation
The rate of change of approximately $1.54 per year means that for each additional year of age, the cost of a ticket increases by about $1.54. This indicates that the amusement park charges more for older visitors, reflecting an adult ticket price that is significantly higher than a children's ticket price. It highlights how ticket prices are structured to account for different age groups, suggesting that the park may offer specialized attractions or services for different age categories.
Note
If you have specific numerical data from your table, please provide it, and I can help you calculate the rate of change with the exact numbers and provide relevant interpretation in that context.