Chapter 6.6, Problem 44PFA

To determine

To find: Possible solution.

Answer to Problem 44PFA

  $\left(15,8\right)$

Explanation of Solution

Given information:

  $x$ is the number of minutes swimming.

  $y$ is the number of minutes walking.

He is going to spend at least 15 minutes swimming and at least 5 minutes for walking.

Each workout will include swimming and walking.

Each workout will be less than 25 minutes.

From given information He is going to spend at least 15 minutes swimming and at least 5 minutes for walking.

We get

  $\begin{array}{l}x\ge 15\\ y\ge 5\end{array}$ .

Each workout will be less than 25 minutes.

We get

  $x+y<25$

Graph of these inequalities is

  

Here

Green colour represents region of inequality $x+y<25$ .

Red colour represents region of inequality $x\ge 15$ .

Blue colour represents region of inequality $y\ge 5$

Common region of Red, Blue and Green colour represents the region of solution of above inequalities.

Plotting given points(options) in above graphs

We get

  

As only point $\left(15,8\right)$ is present in the common region of all inequalities.

So $\left(15,8\right)$ describes the workout.