The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.

Question

numbers of meals dispensed: 1, 3, 6, 7
amount of pet food remaining; 21, 15, 6, 3

Answer 1

Based on the data provided in the table, we can summarize the information as follows:

| Number of Meals Dispensed | Amount of Pet Food Remaining (cups) | |---------------------------|--------------------------------------| | 1 | 21 | | 3 | 15 | | 6 | 6 | | 7 | 3 |

To analyze the relationship between the number of meals dispensed and the amount of pet food remaining, we can look for a pattern or a mathematical relationship.

1. Calculate the food dispensed per meal:

   • From the first meal (1 meal dispensed), the remaining food is 21 cups.
   • After the second meal (3 meals dispensed), the remaining food is 15 cups.
     • Food dispensed from 1 to 3 meals: \(21 - 15 = 6\) cups (for 2 meals)
     • Average per meal for these 2 meals: \(6 / 2 = 3\) cups per meal.
   • From the third meal (6 meals dispensed), the remaining food is 6 cups.
     • Food dispensed from 3 to 6 meals: \(15 - 6 = 9\) cups (for 3 meals)
     • Average per meal for these 3 meals: \(9 / 3 = 3\) cups per meal.
   • Finally, from the sixth to the seventh meal (7 meals dispensed), the remaining food is 3 cups.
     • Food dispensed from 6 to 7 meals: \(6 - 3 = 3\) cups (for 1 meal)
     • Average per meal for this meal: \(3 / 1 = 3\) cups per meal.

2. Conclusion: It appears that each meal dispenses approximately 3 cups of pet food.

3. Equation: If we want to express the amount of pet food remaining (\( R \)) as a function of the number of meals dispensed (\( M \)), we can derive the equation: \[ R(M) = 24 - 3M \] This equation indicates that starting from 24 cups (1 meal would leave you with 21, as shown) and decreasing by 3 cups for each meal dispensed, you can find the remaining amount of pet food.

If you have any further questions or need additional information, feel free to ask!

Answer 2

what's the answer?

Answer 3

Certainly! Here’s a concise summary of the information presented:

Based on the data provided:

• The number of meals dispensed and the corresponding amount of pet food remaining (in cups) are:

  | Number of Meals Dispensed | Amount of Pet Food Remaining (cups) | |---------------------------|--------------------------------------| | 1 | 21 | | 3 | 15 | | 6 | 6 | | 7 | 3 |

Key Findings:

1. Food Dispensed Per Meal: Each meal dispenses approximately 3 cups of pet food.

2. Equation: The amount of pet food remaining \( R \) after \( M \) meals can be expressed by the equation: \[ R(M) = 24 - 3M \]

This means if you know the number of meals dispensed, you can calculate the remaining pet food using this equation.

If you need any further assistance, please let me know!