Math Problem Statement

help

What was the rate of change between Monday and Thursday based on the number of emails Debbie received each day?

Solution

To find the rate of change of the number of emails Debbie received between Monday and Thursday, we'll use the formula for the rate of change:

Rate of change=Change in the number of emailsChange in days\text{Rate of change} = \frac{\text{Change in the number of emails}}{\text{Change in days}}

Based on the table provided:

  • Emails on Monday = 4
  • Emails on Thursday = 3

The change in the number of emails = 34=13 - 4 = -1 (emails) The change in days from Monday to Thursday = 33 days

Now, substituting these values into the formula: Rate of change=13=0.3 emails per day\text{Rate of change} = \frac{-1}{3} = -0.3 \text{ emails per day}

So, the rate of change between Monday and Thursday is 0.3-0.3 emails per day.

Would you like more details on this calculation or have any questions?

Here are five related questions for further practice:

  1. What is the rate of change in the number of emails from Tuesday to Friday?
  2. How many total emails did Debbie receive over the five days?
  3. If the trend continued, how many emails would Debbie receive on Saturday?
  4. What is the average number of emails Debbie received per day?
  5. How does the rate of change from Monday to Thursday compare to the rate from Wednesday to Friday?

Tip: The rate of change helps us understand how a quantity increases or decreases over a specific interval.

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Math Problem Analysis

Mathematical Concepts

Rate of Change
Slope

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8