Calculate percent increase and decrease and explain what the percent measures.
Check whether a percent-change answer makes sense
Problem
A student says the percent decrease from \(90\) to \(72\) is \(20\%\). Classify the claim and give the correct labeled percent change.
Big Picture
What this problem is really about
We’ll evaluate the student’s claim independently by identifying ninety as the original value and seventy-two as the new value. After finding the amount lost, we’ll divide that loss by the original, convert the ratio to a percent, and attach the decrease label. Checking the percent that remains against seventy-two will confirm the classification.
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