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?
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Given:
The equation for height 'h' :
Where a is the age of boys and .
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:
Height of 3 years:
Putting a = 3 in given equation:
Height of 4 years:
Putting a = 4 in given equation:
Height of 5 years:
Putting a = 5 in given equation:
Increase of height from age = 2 to age = 3 years:
Increase of height from age = 3 to age = 4 years:
Increase of height from age = 4 to age = 5 years:
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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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