Question

what is the percent of decrease from 10 to 3? write your answer using a percent sign (%).

Explanation:

Step1: Check for decrease

First, we check if there is a decrease. The original value is 10 and the new value is 37. Since \( 37>10 \), there is actually an increase, not a decrease. But if we follow the formula for percent change (even though it's an increase here), the formula for percent change is \( \text{Percent Change}=\frac{\text{New Value}-\text{Original Value}}{\text{Original Value}}\times 100\% \)

Step2: Calculate the change

Substitute the values: \( \text{New Value} = 37 \), \( \text{Original Value}=10 \)
\( \text{Percent Change}=\frac{37 - 10}{10}\times 100\%=\frac{27}{10}\times 100\% = 270\% \)
But since the question asks for percent of decrease, and the value is increasing, there is a mistake in the question's premise (as 37 is greater than 10, so it's an increase). However, if we assume that it's a typo and maybe the new value is less than 10, but based on the given numbers, the percent change from 10 to 37 is an increase of 270%. But since the question says "decrease", there is an error. But if we proceed with the formula for decrease (even though it's an increase), the formula for decrease is \( \text{Percent Decrease}=\frac{\text{Original Value}-\text{New Value}}{\text{Original Value}}\times 100\% \), but since \( \text{New Value}>\text{Original Value} \), the numerator would be negative, which doesn't make sense for a decrease. So the correct interpretation should be percent increase.

Answer:

Since there is an increase from 10 to 37, the percent increase is \( 270\% \). But if we strictly follow the "decrease" wording (which is incorrect here), there is no decrease. However, assuming a typo and calculating the percent change (increase) gives \( 270\% \)