Chapter 9.5, Problem 37HP

To determine

To write a real world problem that can be represented by the equation $\text{y}=\text{mx}+\text{b}$ and solve by graphing.

Answer to Problem 37HP

An example of a real world problem can be:

A bus charges $\$5$ for booking it for an hour and $\$3$ for every mile it travels. The total cost $\text{y}$ in this situation can be represented by the equation $\text{y}=3\text{x}+5$ .

The cost $\text{y}$ will increase with the number of miles $\text{x}$ travelled.

Explanation of Solution

Given information:

The given statement is:

“Write a real world problem that can be represented by an equation in the form $\text{y}=\text{mx}+\text{b}$ . Solve by graphing.”

An example of a real world problem can be:

A bus charges $\$5$ for booking it for an hour and $\$3$ for every mile it travels. The total cost $\text{y}$ in this situation can be represented by the equation $\text{y}=3\text{x}+5$ , where $\text{x}$ is the number of miles travelled.

The graph of the above equation is:

  

Hence, the cost $\text{y}$ will increase with the number of miles $\text{x}$ travelled.