Chapter 4.2, Problem 8P

You can make a bubble solution by mixing 1 cup of liquid soap with 4 cups of water. Represent the relationship between the cups of liquid soap and the cups of bubble solution made using a table, an equation, and a graph. Is the amount of bubble solution made a function of the amount of liquid soap used? Explain.

To determine

To Explain: The amount of bubble solution made a function of the amount of liquid soap used. And represent the relationship between the cups of liquid soap and the cups of bubble solution made using a table, an equation and a graph.

Answer to Problem 8P

The linear function is form a straight line.

Explanation of Solution

Given information: the bubble solution by mixing 1 cup of liquid soap with 4 cups of water,

Consider $x$ cups of liquid soap and $y$ is cups of water.

According to given condition write an equation,

  $y=4x$

Represent the relationship between the cups of liquid soap and cups of bubble solution by a table,

Soap(x)	Water(y)
1 c	4 c
2c	8 c
3 c	12 c

Now, represent the relationship between the cups of liquid soap and cups of bubble solution by a Graph,

  

Therefore, the linear function is form a straight line.