Math Problem Statement

According to the graph, what was the rate of change between Monday and Tuesday?

Solution

To find the rate of change in the time Rick spent on homework between Monday and Tuesday, let's analyze the data points from the graph:

  • Monday: Rick spent 39 minutes on homework.
  • Tuesday: Rick spent 32 minutes on homework.

Step 1: Calculate the difference in minutes

The change in time from Monday to Tuesday is: 3932=7 minutes39 - 32 = 7 \text{ minutes}

Step 2: Calculate the rate of change

Since this change occurs over one day, the rate of change in time per day is: 7 minutes per day7 \text{ minutes per day}

Answer

The rate of change between Monday and Tuesday is 7 minutes per day.

Would you like further details or have any questions?

Here are some related questions for further exploration:

  1. What is the rate of change between Tuesday and Wednesday?
  2. What is the average time Rick spent on homework over the week?
  3. How does the change from Tuesday to Wednesday compare to other days?
  4. What would be the cumulative time Rick spent from Sunday to Thursday?
  5. Can you determine which day had the least time spent on homework?

Tip: To calculate the rate of change, always look at the difference in values over the change in time (or distance, etc.) between two points.

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Math Problem Analysis

Mathematical Concepts

Rate of change
Basic subtraction
Graph interpretation

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8