Q30. - Algebra 2

Question

For exercise 25-30, use the following information.

A median-fit line is a particular type of line of fit. Follow the steps below to find the equation of the median-fit line for the data.

30. Predict the number of prisoners per 100,000 citizens in 2005 and 2010.

Step-by-Step Solution

Answer

There will be about 613 prisoners per 100,000 citizens in 2005 and 720 prisoners per 100,000 citizens in 2010.

Step-1 – Equation of median-fit line.

We know that the equation of median-fit line is $y=21.4x-42,294.03$.

Step-2 – Substitute 2005 for x into the median-fit line.

$\begin{array}{l}y=21.4\left(2005\right)-42,294.03\\ y=42907-42,294.03\\ y\approx 613\end{array}$

Step-3 – Substitute 2010 for x into the median-fit line.

$\begin{array}{l}y=21.4\left(2010\right)-42,294.03\\ y=43,014-42,294.03\\ y\approx 720\end{array}$

There will be about 613 prisoners per 100,000 citizens in 2005 and 720 prisoners per 100,000 citizens in 2010.