Question

Gabriel is the campaign manager for a candidate for governor. Through a commissioned poll, he discovers that the candidate's approval rating has changed from 80 to 64 percentage points, a drop of 16 percentage points. What was the percent change

Answer 1

Answer: The percent change was 20%.

Step-by-step explanation:

Given : Gabriel is the campaign manager for a candidate for governor.

Through a commissioned poll, he discovers that the candidate's approval rating has changed from 80 to 64 percentage.

I.e. Previous percentage = 80%

New percentage = 64%

Since 64< 80 , that means the percentage of approval has been decreased.

Decrease in percentage = (Previous percentage)- (New percentage)

= 80%-64%=16%

Percent change = $\dfrac{\text{Decrease in percentage}}{\text{Previous percentage}}\times100$

$=\dfrac{16}{80}\times100\\\\=\dfrac{100}{5}\%=20\%$

Hence, the percent change was 20%.