Question

Body Mass Index (BMI) is a measure of body fat is determined using your height and weight:

1. Let $x$be your BMI. Research and then write the compound inequality to show the BMI range for you to considered normal weight.
2. Research a BMI calculator and determine your BMI. Is a solution to the inequality in part$\left(a\right)$.

Short answer

1. The compound inequality is $8.5\le x\le 24.9$.
2. he value of BMI by using BMI calculator is $19.98$ and this value satisfies the condition of inequality for part$\left(a\right)$.

Step-by-step solution

Step 1. Given information 

Let $x$be the Body Mass Index.

According to research, the normal weight falls under the Body Mass Index between $18.5$to $24.9$.

Part (a). Step 1. Find the compound inequality. 

The Body Mass Index range for one to be considered as normal weight must fall between $18.5$to $24.9$:

$18.5\le x\le 24.9$

Part (b). Step 1. Given information. 

The BMI calculator is:

$BMI=\frac{\mathrm{Weight}\mathrm{in}\mathrm{kilograms}}{{\left(\mathrm{Height}\mathrm{in}\mathrm{meter}\right)}^2}$

Here, weight$=48$

Height$=1.55$

Part (b). Step 2. Find Body Mass Index. 

Substitute the value of weight and height into BMI formula:

$$\begin{gathered} BMI=\frac{48}{{\left(1.55\right)}^2} \\ BMI=19.98 \end{gathered}$$

Therefore, the value of Body Mass Index is$19.98$.