Question

Two years ago, Estelle reserved 24 books in 4 months. Then last year, Estelle reserved books in 36 months. Finally, this year, Estelle reserved 18 books in 3 months. Write this proportional relationship as an equation in the form , where is the unit rate between books and months.

Answer 1

Answer: To write the proportional relationship between books and months, we can use the formula:

unit rate = (total books) / (total months)

Let's calculate the total books and months for Estelle's reservations:

Two years ago: 24 books in 4 months

Last year: unknown number of books in 36 months

This year: 18 books in 3 months

To find the total number of books for last year, we can use a proportion:

24 books / 4 months = x books / 36 months

Cross-multiplying, we get:

24 * 36 = 4 * x

x = 24 * 9

x = 216

So Estelle reserved 216 books in 36 months last year.

Now we can calculate the unit rate:

unit rate = (total books) / (total months)

unit rate = (24 + 216 + 18) / (4 + 36 + 3)

unit rate = 258 / 43

unit rate = 6

Therefore, the proportional relationship between books and months is:

books = 6 * months

Explanation: