Chapter 4, Problem 17CR

To determine

To frame: A function rule that represents the given situation.

Answer to Problem 17CR

  $V=243-0.2s$

Explanation of Solution

Given information: Volume of pile of gravel is 243 cubic feet. The volume decreases by 0.2 .

Formula used:

  $\begin{array}{l}y=mx+b\\ b->initial\_value\\ m->rate\_of\_change\end{array}$

Calculation:

Let ‘s’ represents the spread of shovelful of gravel in a walkway. Initial volume is 243 cubic feet.

The rate of change in volume is 0.2. Substitute the values in the formula.

  $\begin{array}{l}y=mx+b\\ b=243,m=-0.2\\ V=-0.2s+243\\ V=243-0.2s\end{array}$

Function rule is $V=243-0.2s$