Q76. - Algebra 2

Question

TRANSPORTATION For Exercises 74–76, refer to the graph at the right. (Lesson 2-5)

 Predict the median age of vehicles on the road in 2010.

Step-by-Step Solution

Answer

The median age of vehicles on the road in 2010 is 8.9.

Step-1 – Given

The given image is:

Step-2 – To determine

We have to find the median age of vehicles on the road in 2010.

Step-3 – Calculation

The scatter plot for (x, y) is:

 

From the graph we see that the points are almost on a line.

To find the slope we take first two points (0, 4.9) and (5, 5.4).

Slope is = m =$\frac{(5.4-4.9)}{5-0}=0.1$ .

y-intercept = b = 4.9.

 

So, the equation is: 

$\begin{array}{l}y=mx+b\\ y=0.1x+4.9\end{array}$

Hence, the prediction equation is $y=0.1x+4.9$.

For 2010,$x=2010-1970=40$ .

For$x=40$ , 

$\begin{array}{l}y=0.1x+4.9\\ y=0.1\left(40\right)+4.9\\ y=8.9\end{array}$

So, the median age of vehicles on the road in 2010 is 8.9.