Math Problem Statement
Solution
The problem asks for the rate of change between Sunday and Wednesday based on the number of voicemail messages on John's phone.
Here's how we can calculate that:
Step 1: Identify the number of voicemail messages on Sunday and Wednesday.
- Sunday: 12 messages
- Wednesday: 2 messages
Step 2: Calculate the rate of change.
Rate of change is calculated by the formula:
Change in voicemail messages:
Change in days:
So, the rate of change is:
Thus, the rate of change is 3.3 voicemail messages per day (rounded to the nearest tenth).
Would you like more details or have any other questions?
Here are five related questions to expand this concept:
- What would be the rate of change between Monday and Thursday?
- How would the rate of change differ if the messages increased instead of decreased?
- What does a negative rate of change indicate in this scenario?
- How would you calculate the total number of messages deleted from Sunday to Thursday?
- How does this concept of rate of change apply to other real-world examples like speed or temperature?
Tip: Always subtract in the order specified in the question (final value minus initial value) to avoid sign errors.
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Math Problem Analysis
Mathematical Concepts
Rate of Change
Basic Arithmetic
Formulas
Rate of change = (Final Value - Initial Value) / Number of Days
Theorems
Linear Rate of Change
Suitable Grade Level
Grade 6-8
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