# H = 3a + 28.6 A pediatrician uses the model above to estimate the height h of a boy, in inches, in terms of the boy's age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy's height each year? A) 3 B) 5.7 C) 9.5 D) 14.3

2 months ago

## Solution 1

Guest #2391732
2 months ago

The estimated increase, in inches, of a boy's height each year is 3 inches.

### What are mathematical model?

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling.

Now the given model to estimate the height h of a boy, in inches, in terms of the boy's age a, in years is,

h = 3a + 28.6

Now age between 2 and 5 the height is given as,

At age 2 years,

h₂ = 3*2 + 28.6 = 34.6 inches

At age 3 years,

h₃ = 3*3 + 28.6 = 37.6 inches

At age 4 years,

h₄ = 3*4 + 28.6 = 40.6 inches

At age 5 years,

h₅ = 3*5 + 28.6 = 43.6 inches

Thus, increase in height per year

h₅-h₄ = 43.6 - 40.6 = 3 inches

h₄-h₃ = 40.5 - 37.6 = 3 inches

h₃-h₂ = 37.6 - 34.6 = 3 inches

Thus, h₅-h₄ = h₄-h₃ = h₃-h₂ = 3 inches

Thus, she estimated increase, in inches, of a boy's height each year is 3 inches.

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## Solution 2

Guest #2391733
2 months ago

Step-by-step explanation:

the estimated increase in height of baby each year would be 3 inches.

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Options were not provided, we looked for them either at brainly or other site, but we didn't find them. We will answer the problem without using any additional source, just the information provided.

Step-by-step explanation:

1. Let's review the information given to us to solve the question correctly:

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