Chapter 9.4, Problem 20CCR

a.

To determine

To determine the constant rate of change between the quantities.

Answer to Problem 20CCR

The Constant Rate of change is $12$ .

Explanation of Solution

Given:

Number of People	Total cost
x	y
3	36
4	48
5	60

Calculation:

The constant rate of change between the quantities.

  $x$ is number of People

  $y$ is Total Cost

By Using Constant Proportion

When $x=3$ and $y=36$

Constant rate of change $=\frac{36}{3}=12$

When $x=4$ and $y=48$

Constant rate of change $=\frac{48}{4}=12$

When $x=5$ and $y=60$

Constant rate of change $=\frac{60}{5}=12$

  $\begin{array}{l}=\frac{36}{3}=12\\ =\frac{48}{4}=12\\ =\frac{60}{5}=12\\ x=5y=60\\ \end{array}$

Therefore,

The Constant Rate of change is 12.

b.

To determine

To determine the means of constant rate of change.

Answer to Problem 20CCR

It means one quantity change with respect to another quantity.

Explanation of Solution

Given:

Constant rate of change is $12$ dollars/person

The means of constant rate of change.

Constant rate of change tells that it takes $12$ dollars per single person to enter in to the water park.

Therefore,

It means one quantity change with respect to another quantity.

c.

To determine

To determine the slope of the given points.

Answer to Problem 20CCR

Slope of the line is $12$ .

Explanation of Solution

Given:

Number of People	Total cost
x	y
3	36
4	48
5	60

CalculationThe slope of the given points We are taking any two points from the given table.

  $(3,36)$ and $(4,48)$

  $\begin{array}{l}\text{slope}=\frac{\text{change}\text{in}y\text{unit}}{\text{change}\text{in}x\text{unit}}\\ m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{48-36}{4-3}\\ m=12\end{array}$

Therefore,

The slope of the line passing through the points is $12$ .