Math Problem Statement

According to the table, what was the rate of change between August and September?

Solution

The image shows a question from a math practice on rate of change involving waiting times at a doctor's office. The table provided tracks the average waiting time in minutes for each month:

  • August: 60 minutes
  • September: 57 minutes
  • October: 40 minutes
  • November: 53 minutes
  • December: 43 minutes

The specific question asks: "What was the rate of change between August and September?"

Step-by-step solution:

  1. Rate of change formula:

    Rate of Change=Change in valueChange in time (months)\text{Rate of Change} = \frac{\text{Change in value}}{\text{Change in time (months)}}
  2. Change in value (waiting time):

    5760=3minutes57 - 60 = -3 \, \text{minutes}
  3. Change in time: The change is from August to September, which is 1 month.

  4. Rate of change:

    3minutes1month=3minutes per month\frac{-3 \, \text{minutes}}{1 \, \text{month}} = -3 \, \text{minutes per month}

So, the rate of change between August and September is -3 minutes per month.

Would you like more details or have any further questions?

Here are 5 related questions to practice:

  1. What is the rate of change between September and October?
  2. What is the rate of change between November and December?
  3. Why is the rate of change negative between August and September?
  4. How can you calculate the average rate of change between multiple months?
  5. What is the importance of rate of change in real-world applications?

Tip: Always pay attention to the direction of the rate of change (positive or negative), as it indicates increase or decrease.

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Math Problem Analysis

Mathematical Concepts

Rate of Change
Linear Relationships
Algebra

Formulas

Rate of Change = (Change in Value) / (Change in Time)

Theorems

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Suitable Grade Level

Grades 6-8