Chapter 9.4, Problem 3GP

a.

To determine

To determine the equation relating between the weight $x$ and the amount of stretch $y$

Answer to Problem 3GP

The equation is $y=0.25x$ .

Explanation of Solution

Given:

  $x=8$ ounce weight

  $y=2$ inches

Calculation:

The equation relating between the weight $x$ and the amount of stretch $y$ ,

Length of spring varies directly with the amount of weight.

Let any constant variable $p$ .

  $\begin{array}{l}y=px\\ p=\frac{y}{x}\\ p=\frac{2}{8}\\ p=0.25\end{array}$

Therefore,

the equation is,

  $y=0.25x$

b.

To determine

To determine value of the stretch of the spring when the $20$ ounce weight attached.

Answer to Problem 3GP

Value of the stretch of the spring is $5.00$ inches

Explanation of Solution

Given:

The equation,

  $y=0.25x$

  $x=20$ ounce weight.

Calculation:

Value of the stretch of the spring when the $20$ ounce weight attached.

  $\begin{array}{l}y=0.25\times 20\\ y=5.00\text{inches}\end{array}$

Therefore,

Value of the stretch of the spring is $y=5.00$ inches