Answer:
21%.
Step-by-step explanation:
We have been given that Martha estimated there were 85 marbles in a jar for a contest. The actual number of marbles in the jar was 107.
We will use percentage error formula to answer our problem.
[tex]\text{Error percentage}=\frac{|\text{Approx-Exact}|}{\text{Exact}} \times 100[/tex]
Let us substitute our given values in above formula.
[tex]\text{Error percentage}=\frac{|85-107|}{107}} \times 100[/tex]
[tex]\text{Error percentage}=\frac{22}{107}} \times 100[/tex]
[tex]\text{Error percentage}=0.205607476635514 \times 100[/tex]
[tex]\text{Error percentage}=20.5607476635514\approx 21[/tex]
Therefore, the percent error of Martha's estimation is 21% to the nearest percent.
