Q11. - Algebra 2

Question

For Exercises 10-12, use the graph that shows how much Americans spent on doctors’ visits in some recent years. 

11. Use your equation to predict the amount of 2005

Step-by-Step Solution

Answer

The models predicts that Americans will spend $1091 on doctors’ visits in 2005.

Step-1 – Concept of prediction equation.

Prediction equation – An equation of line of fit is often called a prediction equation

Step-2 – Write the predicted equation.

The predicted equation is $y=35.2x-69,485$

Step-3 – Substitute 2005 for x .

We must find the amount for year 2005. So, we substitute $x=2005$ in the predicted equation to get the value of y.

 $\begin{array}{l}y=35.2x+69,485\\ y=35.2\left(2005\right)+69,485\\ y=1091\end{array}$

Hence, the amount value is $y=1091$