Chapter 4, Problem 7CR

To determine

To graph: Graph the table and explain the variables. Frame equation and define the relationship

Answer to Problem 7CR

Independent variable is ‘s’

Dependent variable is ‘c’

Total cost of game depends on the number of snacks purchased.

  $C=3s+18$

  

Explanation of Solution

Given information: The number of snacks purchased and Total cost

Graph:

The total cost of the game depends on the number of snacks purchased.

The total cost changes when the value of number of snacks changes. So the independent variable the number of snacks purchased and the dependent variable is the total cost.

Independent variable is ‘s’

Dependent variable is ‘c’

The difference of total cost is constant. So we use equation $y=mx+b$

Pick any two points and frame the equation

  $\begin{array}{l}(0,18)(1,21)\\ Slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{21-18}{1-0}=3\\ y\mathrm{int}ercept(0,18)\\ b=18\\ y=mx+b\\ m=3,b=18\\ C=3s+18\end{array}$

Total cost of game depends on the number of snacks purchased.

Graph the given table using coordinates

  $(0,18)(1,21)(2,24)(3,27)$