Q55. - Algebra 2

Question

Use the table that shows the life expectancy for people born in various years.

Predict the life expectancy of a person born in 2010

Step-by-Step Solution

Answer

The life expectancy of a person in the year$2010$will be about$79years.$

Step-1 –Prediction equation.

The prediction equation of life expectancy of a person is $y=0.18x+67.9$

Step-2 – Determine the value of x . <

The difference between year 1950 and $2010$ is$60$years.

Step-3 – Solve for life expectancy of a person born in 2010

Put 60 for x into $y=0.18x+67.9$.

$\begin{array}{l}y=0.18x+67.9\\ y=0.18\left(60\right)+67.9\\ y=78.7\end{array}$

Therefore, the model predicts that the life expectancy of a person in the year$2010$will be about $79years.$