Chapter 6.8, Problem 9CYU

(a)

To determine

To define: The variables and to write a system of inequalities of height and weight

Answer to Problem 9CYU

The inequalities of height is $h\ge 79$ and weight is $w\ge 295$

Explanation of Solution

Given:

  $6ft7in$ tall under $295lbs$

Calculation:

Let represents the height and represents the weight

To calculate the height in inch:

  $6ft7in=6.2+7$

  $=72+7$

  $=79in$

Now the inequalities will be $h\ge 79$ and $w\ge 295$

The graphs will be

  

Conclusion:

Hence,the inequalities of height is $h\ge 79$ and weight is $w\ge 295$

(b)

To determine

To name: The possible solution

Answer to Problem 9CYU

The one possible solution is $\left(90,300\right)$

Explanation of Solution

Given:

Safety requirements and rules are $18$ years of age or older with good physical condition under $6ft7in$ tall under $295lbs$

Calculation:

From the graph

One possible solution will be $\left(90,300\right)$

Conclusion:

Hence,the one possible solution is $\left(90,300\right)$

(c)

To determine

To find: whether the given pair is a solution or not

Answer to Problem 9CYU

The given pair $\left(50,180\right)$ is not a solution

Explanation of Solution

Given:

  $\left(50,180\right)$

Calculation:

Here the solution is

  $\left(h,w\right)=\left(50,180\right)$

Since the minimum height is $79in$ and minimum weight is $295lbs$

Therefore the given pair is not a solution

Conclusion:

Hence,the given pair $\left(50,180\right)$ is not a solution