Question

1. the number of people estimated to vote in an election was 7,000. the actual number of people who voted was 5,600.

part a
by what percent did the estimate vary from actual turnout?
part b
in the previous election 6,400 people voted. what is the percent decrease in actual voters?

Explanation:

Part A Step1: Find the difference

The estimated number is 7,000 and the actual is 5,600. The difference is $7000 - 5600 = 1400$.

Part A Step2: Calculate the percentage

The formula for percentage change is $\frac{\text{Difference}}{\text{Actual}} \times 100\%$. So, $\frac{1400}{5600} \times 100\% = 25\%$.

Part B Step1: Find the decrease

Previous voters: 6,400, current actual: 5,600. Decrease is $6400 - 5600 = 800$.

Part B Step2: Calculate the percentage decrease

Using the formula $\frac{\text{Decrease}}{\text{Previous}} \times 100\%$, we get $\frac{800}{6400} \times 100\% = 12.5\%$.

Answer:

Part A: 25%
Part B: 12.5%