https://file.aiquickdraw.com/mathbot/file/1727354184610hvc5s1i2.jpg

Let's solve the problem from the image.

The question asks for the percent of increase when 32 books are increased to 56 books.

To calculate the percent increase, we use the following formula:

\[
\text{Percent Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100
\]

Here:
- Old value = 32 books
- New value = 56 books

Substituting these values into the formula:

\[
\text{Percent Increase} = \left( \frac{56 - 32}{32} \right) \times 100 = \left( \frac{24}{32} \right) \times 100 = 0.75 \times 100 = 75\%
\]

The correct option is **75%**.

Let me know if you'd like further explanation or have any questions. 

Here are 5 related questions to explore:
1. How do you calculate the percent decrease?
2. What would the percent increase be if 32 books were increased to 64 books?
3. How would you calculate the percent change if the number of books decreased from 56 to 32?
4. What is the formula for calculating absolute increase?
5. Can you explain why multiplying by 100 gives the percent in these problems?

**Tip**: Always subtract the old value from the new value when calculating a percentage increase!

Find the percent of increase when 32 books are increased to 56 books.

Learn how to calculate the percent increase when the number of books rises from 32 to 56. This example demonstrates percentage change with simple arithmetic and is suitable for students in Grades 6-8.

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