Math Problem Statement

In state tuition at a local college was $3615 last year. This year the tuition will be $4362. What is the percent increase of tuition?

Solution

To solve this problem, you need to calculate the percentage increase in tuition from last year to this year.

Here’s the step-by-step process:

  1. Find the difference in tuition: 43623615=7474362 - 3615 = 747

  2. Calculate the percentage increase: The formula for percentage increase is: Percentage Increase=(DifferenceOriginal Amount)×100\text{Percentage Increase} = \left( \frac{\text{Difference}}{\text{Original Amount}} \right) \times 100 Substituting the values: (7473615)×100=20.7%\left( \frac{747}{3615} \right) \times 100 = 20.7\%

The percent increase in tuition is 20.7%.

Would you like more details on this? Here are 5 related questions:

  1. How do you calculate percent decrease if the tuition dropped instead?
  2. What is the difference between absolute and relative change in percentages?
  3. How can you apply this calculation to other real-world scenarios, like discounts?
  4. How does rounding affect percentage results?
  5. Why is it important to express changes as percentages in finance?

Tip: Always double-check if rounding is necessary and how many decimal places the answer should have!

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Math Problem Analysis

Mathematical Concepts

Percent Increase
Proportions
Arithmetic Operations

Formulas

Percentage Increase = (Difference / Original Amount) × 100

Theorems

Proportions and Percentages

Suitable Grade Level

Grades 7-9