Math, asked by arwin60, 8 months ago

H = 3a + 28.6: A pediatrician uses this formula to estimate the height h of a boy, in inches, in terms of the boys age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boys height each year?

Answers

Answered by TanikaWaddle
5

Given:

The equation for height 'h' :

h = 3a + 28.6

Where a is the age of boys and 2\leq a\leq 5.

To find:

Estimated increase in height of a boy each year.

Solution:

First of all, let us find the height of boys for each year:

Height of 2 years:

Putting a = 2 in given equation:

h_2 = 3\times 2 + 28.6\\\Rightarrow h_2 = 34.6\ inches

Height of 3 years:

Putting a = 3 in given equation:

h_3 = 3\times 3 + 28.6\\\Rightarrow h_3 = 37.6\ inches

Height of 4 years:

Putting a = 4 in given equation:

h_4 = 3\times 4 + 28.6\\\Rightarrow h_4 = 40.6\ inches

Height of 5 years:

Putting a = 5 in given equation:

h_5 = 3\times 5 + 28.6\\\Rightarrow h_5 = 43.6\ inches

Increase of height from age = 2 to age = 3 years:

h_3-h_2= 37.6-34.6 = 3\ inches

Increase of height from age = 3 to age = 4 years:

h_4-h_3= 40.6-37.6 = 3\ inches

Increase of height from age = 4 to age = 5 years:

h_5-h_4= 43.6-40.6= 3\ inches

Answered by tekinayor
0

Answer:

Differentiate H. SIMPLE

Step-by-step explanation:

Differentiate 3a + 28.6 wrt(with respect to) a.

Thus, dH/da= 3

Thus the boy grows by 3 inches each year.

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