Respuesta :
Step 1
Part A
Write an expression in ratio form that can be used to determine the percent with which the estimate varied from the actual turnout
Estimate to vote = 7,000 people
Actual turnout = 5,600 people
The ratio is given as
[tex]\frac{estimated\text{ number of people to vote}-\text{actual number of peple that voted}}{\text{actual number of people that voted}}\times100[/tex]Step 2
Substitute and get the answer to step 1
[tex]\begin{gathered} =\frac{7000-5600}{5600}\times100 \\ =\frac{1400}{5600}\times100 \\ x=\text{ 25\%} \end{gathered}[/tex]Hence the percent with which the estimate varied with the actual turnout =25%
Step 3
Calculate the percentage decrease
State an expression for percentage decrease
[tex]Percentage\text{ decrease =100}\times\frac{\text{final}-\text{initial}}{\text{initial}}[/tex]Step 4
Substitute and get the answer to part
[tex]\text{Percentage decrease = 100}\times\frac{5600-6400}{6400}[/tex][tex]\text{percentage decrease =12.5\%}[/tex]The percentage decrease in the actual voters = 12.5%
