Q53. - Algebra 2

Question

Use the table that shows the years of experience for eight sales representative and their sales during a given period of time.

years	6	5	3	1	4	3	6	2
Sales	9000	6000	4000	3000	6000	5000	8000	2000

Predict the sales for a representative with 8 year of experience 

Step-by-Step Solution

Answer

The sales for a representative with 8 year of experience is $12500$ 

Step 1 use the y value of 8

As the prediction equation is determined as 

$y=\frac{4}{7000}x+\frac{6}{7}$ 

It gives a relation between the sales and year of experience 

Step 2 substitute in equation

Put the value of 8 years in the above equation 

$8=\frac{4x}{7000}+\frac{6}{7}$ 

Step 3 calculation of predicted sales

Now the above equation is rewritten as 

$\begin{array}{l}8-\frac{6}{7}=\frac{4x}{7000}\\ x=12500\end{array}$

Hence, the value of the $x$ is $12500$