Chapter 1.3, Problem 89E

To determine

To find: amount of change in vertical position when you drive 200 feet.

Answer to Problem 89E

  $12ft$

Explanation of Solution

Given:

The slope of the road is $m=\frac{6}{100}$ .

Concept Used:

Slope intercept form of equation of line is $y=mx+b$ , where m is the slope of the line and $\left(0,b\right)$ is the y -intercept of the line.

Let x represents the horizontal distance and y represents the height of the road. Then, by the slope intercept form, the equation of the line is of form:

  $y=mx+b$

Here it is given that $m=\frac{6}{100}$ and let the starting point be represented by $\left(0,0\right)$ , then it implies that $b=0$ .

So, the equation of line is:

  $y=\frac{6}{100}x$

Now when $x=200$ ,

  $\begin{array}{c}y=\frac{6}{100}\left(200\right)\\ =12ft\end{array}$

Conclusion:

Amount of change in vertical position when you drive 200 feet is 12 ft.