Question

mathematical literacy p2 western cape september 2023
1.4
a mathematical literacy class investigated the bmi (body mass index) status of swimmers.
the findings, which shows the swimmers bmi status data are presented in table 3 below.
table 4 provides the bmi status categories used for classification.
note: some of the information in table 3 is omitted.
table 3: bmi status data of swimmers
1 aisha patel freestyle 1,70 62 21,5 normal
2 marcus johnson backstroke 1,85 78 22,8...
3 zara mohamed butterfly 1,62 55 21,0 normal
4 liam van der merwe breaststroke 1,78 74... normal
5 kaia nkomo medley 1,68 59 20,9 normal
table 4: bmi status categories
below 18,5 under weight
18,5 - 24,9 normal weight
25,0 - 29,9 overweight
30,0 and above obese
use the above table 3 and table 4 to answer the questions that follow:
1.4.1 convert, to gram, the mass of zara.
1.4.2 write down the bmi status of marcus.
1.4.3 the bmi calculation of liam is done below.
select the letter (a, b, c, or d) that shows the correct calculation.
a bmi of liam = = = 23,4
b bmi of liam = = = 41,6
c bmi of liam = = = 83,1
d bmi of liam = = = 20,8

Explanation:

1.4.1

Step1: Unit conversion (kg to g)

Since \(1\space kg = 1000\space g\), for Zara's mass \(m = 55\space kg\)

$$m=55\times1000\space g$$

1.4.2

Step1: Check BMI range

Marcus' BMI is \(22.8\). From Table 4, the range \(18.5 - 24.9\) is "Normal Weight".

1.4.3

Step1: BMI formula

The formula for BMI is \(BMI=\frac{mass\space (kg)}{height^{2}\space (m^{2})}\). For Liam, \(mass = 74\space kg\) and \(height=1.78\space m\)

$$BMI=\frac{74}{1.78^{2}}=\frac{74}{3.1684}\approx23.4$$

Answer:

1.4.1 \(55000\space g\)
1.4.2 Normal Weight
1.4.3 A. BMI of Liam \( = 23.4\)