Chapter 9.4, Problem 4GP

To determine

To determine the height of the first or second K increases faster.

Answer to Problem 4GP

Height of second K increases faster.

Explanation of Solution

Given information:

The height of Second K increases $3.5$ feet per second

For First K

Time(s)	4	6	8	10
Height(ft)	8	12	16	20

Calculation:

The height of the first or second K increases faster

Taking of any two points in the above table:

  $(4,8)$ and $(6,12)$

  $\begin{array}{l}\text{slope}=\frac{12-8}{6-4}\\ =\frac{4}{2}\\ =2\end{array}$

Therefore,

The slope of the first K is less than second K.

So, the height of second K increases faster.