Question

1. The table shows the percentage of full height of boys and girls within the age
range of 11 - 16 years. Using the data given, calculate the height at the end of the
growth period for:
% of full height
Age
Boys
Girls
11
81 %
88 %
12
84 %
91 %
13
88 %
95 %
14
92 %
98 %
15
95 %
99 %
16
98 %
99.5%
a A 12-year old girl who is 124 cm tall
b. A 14-year old boy who is 140 cm tall
C. An 11 - year old girl who is 118 cm tall​

Answer 1

Answer:

(a) 136.2 cm

(b) 152.1 cm

(c) 134.09 cm

Explanation:

[ Note : The calculation for full height is the average rate of growth in the height of boys and girls within the growth period ]

To calculate the full height at the end of the growth period, we have to divide the given height with the percentage of the full height at this age and multiply it by 100.

Here's the formula :

Given Height / % of full height at this age × 100

a) height = 124 cm

percentage of full height = 91%

sol :

124/91 × 100 = 136.2 cm

____________________________

b) height = 140 cm

percentage of full = 92%

sol :

140/92 × 100 = 152.1 cm

____________________________

c) height = 118 cm

percentage of full height = 88%

sol :

118/88 × 100 = 134.09 cm

Hope this helps