Question

1 what is the percent decrease, to the nearest percent, of the number of books checked out from june to july?

month	number of books checked out
july	407

f 22%
g 28%
h 56%
j 7%
12 mr. lee drew this venn diagram on the board.
(the venn diagram shows: counting numbers ⊂ whole numbers ⊂ integers ⊂ rational numbers)
he asked his students to name a set in the diagram that includes the number -3.9. which set could they name?
a. natural numbers
b. integers
c. rational numbers
d. whole numbers

Explanation:

First Question (Percent Decrease)

Step1: Find the decrease amount

The number of books checked out in June is 522, and in July is 407. The decrease amount is \( 522 - 407 = 115 \).

Step2: Calculate the percent decrease

The formula for percent decrease is \( \text{Percent Decrease} = \frac{\text{Decrease Amount}}{\text{Original Amount}} \times 100\% \). Substituting the values, we get \( \frac{115}{522} \times 100\% \approx 22\% \) (rounded to the nearest percent).

• Natural numbers: Positive integers (1, 2, 3, ...), -3.9 is not natural.
• Integers: Whole numbers and their negatives (..., -2, -1, 0, 1, 2, ...), -3.9 is not an integer.
• Whole numbers: Non - negative integers (0, 1, 2, ...), -3.9 is not a whole number.
• Rational numbers: Numbers that can be expressed as \( \frac{a}{b} \) where \( a,b \) are integers and \( b

eq0 \). -3.9 can be written as \( \frac{-39}{10} \), so it is a rational number.

Answer:

F 22%

Second Question (Number Set for -3.9)