Question

Word Problem The Waist to Hip Ratio (WHR) is a ratio commonly expressed as a decimal that has been shown to be a good predictor of possible cardiovascular problems in both men and women. If Kevin has a WHR greater than 1, he is considered to be “high risk” for cardiovascular problems. Calculate Kevin’s WHR with a waist measurement of 42 inches and a hip measurement 2 inches less.

Answer 1

Answer:

1.05

Step-by-step explanation:

Waist to Hip Ratio would be the ratio of the waist measurement to the hip measurement.

The waist measurement is 42 inches and the hip measurement is 2 less; this makes the hip measurement 42-2 = 40 inches.

This makes the WHR 42/40 = 1.05.

Answer 2

The ratio of the waist measurement to hip measurement is $\boxed{\bf 1.05}$ and he is in the high risk of cardiovascular problems.

Further explanation:

The ratio is a quantitative relation between two amounts.

The ratio can be expressed in the form of $a:b$, where $a$ and $b$ are the real numbers.

The ratio $a:b$ can be written in the form of fraction as $\frac{a}{b}$ where $a$ is divided by $b$.

Given:

Kevin’s waist measurement is $42\text{ inches}$ and hip measurement is $2\text{ inches}$ less than the waist measurement.

Calculation:

Step 1:

First we have to find Kevin’s hip measurement.

Kevin’s hip measurement is $2\text{ inches}$ less than the waist measurement which is $42\text{ inches}$.

Therefore, subtract the value $2\text{ inches}$ from $42\text{ inches}$ to obtain the hip measurement.

It can be mathematically expressed as follows:

$\begin{aligned}\text{Hip measurement}&=42-2\\&=40\end{aligned}$

Step 2:

Now, we calculate Kevin’s WHR.

The ratio of waist measurement to hip measurement denoted as “WHR”.

The value of WHR can be expressed as follows:

$\boxed{\text{WHR}=\dfrac{\text{Waist measurement}}{\text{Hip measurement}}}$ …… (1)

Substitute the value of waist measurement and hip measurement in the equation (1).

$\begin{aligned}\text{WHR}&=\dfrac{42}{40}\\&=\dfrac{21}{20}\\&=1.05\end{aligned}$

The value of WHR is $1.05$.

The waist to hip ratio (WHR) is used to predict the cardiovascular problems in both men and women.

The ratio should not be greater than $1$ otherwise the person would be considered in the high risk of the cardiovascular problems.

The waist to hip ratio (WHR) of Kevin is greater than $1$.

Therefore, Kevin is in the high risk of cardiovascular problems.

Thus, the ratio of the waist measurement to hip measurement is $\boxed{\bf 1.05}$ and he is in the high risk of cardiovascular problems.

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Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Ratio and Proportion

Keywords:  Ratio, proportion, WHR, cardiovascular problems, waist measurement, hip measurement, men, women, high risk, predictor, decimal, problems, amount, fraction, real numbers, Kevin, good predictor.