Question

which of the following item changes represents a percent decrease greater than 35%? select yes or no for each set of numbers.

	yes	no
65 to 40	○	○
118 to 93	○	○
27 to 38	○	○

Explanation:

Step1: Recall percent decrease formula

The formula for percent decrease is $\text{Percent Decrease} = \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \times 100\%$.

Step2: Calculate for 65 to 40

Original value = 65, New value = 40.
Decrease = $65 - 40 = 25$.
Percent decrease = $\frac{25}{65} \times 100\% \approx 38.46\%$.
Since $38.46\% > 35\%$, this is a yes.

Step3: Calculate for 118 to 93

Original value = 118, New value = 93.
Decrease = $118 - 93 = 25$.
Percent decrease = $\frac{25}{118} \times 100\% \approx 21.19\%$.
Since $21.19\% < 35\%$, this is a no.

Step4: Analyze 27 to 38

This is an increase (38 > 27), so it's not a decrease. Thus, no.

Answer:

• 65 to 40: Yes
• 118 to 93: No
• 27 to 38: No