Math Problem Statement

According to the table, what was the rate of change between Friday and Saturday?

Solution

To calculate the rate of change between Friday and Saturday's food preparation times, we use the following formula:

Rate of change=Change in preparation timeChange in days\text{Rate of change} = \frac{\text{Change in preparation time}}{\text{Change in days}}

From the table:

  • Friday's preparation time = 44 minutes
  • Saturday's preparation time = 29 minutes

The change in preparation time is:

Change in preparation time=2944=15 minutes\text{Change in preparation time} = 29 - 44 = -15 \text{ minutes}

Since we are comparing two consecutive days, the change in days is 1 day.

Rate of change=151=15 minutes per day\text{Rate of change} = \frac{-15}{1} = -15 \text{ minutes per day}

The rate of change between Friday and Saturday is -15 minutes per day.

Would you like more details or have any questions?

Here are five related questions to expand your understanding:

  1. How do you calculate the rate of change over multiple days?
  2. Why is it important to track the rate of change in real-world scenarios like this one?
  3. Can the rate of change be positive or negative, and what does each signify?
  4. How would you calculate the average rate of change over a week?
  5. What factors could cause fluctuations in food preparation time over time?

Tip: Always check whether your rate of change makes sense in the context—negative values show a decrease, while positive values indicate an increase.

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Math Problem Analysis

Mathematical Concepts

Rate of Change
Arithmetic

Formulas

Rate of change = (Change in quantity) / (Change in time)

Theorems

Basic rate of change formula in arithmetic

Suitable Grade Level

Grade 8