Chapter 4.4, Problem 12PPS

(a)

To determine

To find: The record of the foot size of individuals.

Explanation of Solution

Record the foot measure of different individuals and tabulate the data.

  

(b)

To determine

To graph: The shoe size and height of the recorded data.

Explanation of Solution

Graph:

The graph of the shoe size and the recorded height of individual is.

  

(c)

To determine

To find: The equation for the height and foot size.

Answer to Problem 12PPS

The required equation for the height and foot size is $y=2.3x+46.25$ .

Explanation of Solution

Formula used:

Slope form of equation

  $y-y_1=\frac{y_2-y_1}{x_2-x_1}\left(x-x_1\right)$

Consider the point slope form of equation

  $y-y_1=\frac{y_2-y_1}{x_2-x_1}\left(x-x_1\right)$

Substitute $71.5$ for $y_2$ $63.5$ for $y_1$ , $11$ for $x_2$ and $7.5$ for $x_1$ in the above equation.

  $\begin{array}{c}y-63.5=\frac{71.5-63.5}{11-7.5}\left(x-7.5\right)\end{array}$

  $\begin{array}{c}y-63.5=2.3\left(x-7.5\right)\end{array}$

     $\begin{array}{c}y=2.3x+46.25\end{array}$

Hence, the required equation for the height and foot size is $y=2.3x+46.25$ .

(d)

To determine

To find: The relationship between the cost and the number of t-shirt

Explanation of Solution

The height of each individual increases with increase in foot size. Thus, the height and foot size have a positive relation.