Chapter 1, Problem 66RE

(a)

To determine

To graph: The given data below in a scatter plot, $y$ represents the height of a volcano $\left(\text{in}\text{meters}\right)$ and $x$ represents the number of years.

$\begin{array}{|cc|}\hline \text{Number of years since 1960, }x& \text{Height}\left(\text{m}\right)\\ 0& 166\\ 10& 290\\ 20& 408\\ 30& 526\\ 40& 650\\ 50& 760\\ 54& 813\\ \hline\end{array}$

(b)

To determine

To calculate: The linear function of the volcano by using given points $\text{A}\left(0,166\right)$ and $\text{B}\left(40,650\right)$ .If $y$ represents the height of a volcano $\left(\text{in}\text{meters}\right)$ and $x$ represents the number of years.

(c)

To determine

The meaning of the slope from part(b).

(d)

To determine

To calculate: The height of volcano in the year $2030$ , by using the model from part (b).