**h = 3a + 28.6A pediatrician uses the model above to estimate the height h of a b...**

### Question

*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?

### Options

The correct answer is A.

### Explanation:

Choice A is correct. In the equation h D + 28.6, if D, the age of the boy, increases by 1, then h becomes h = 3(a+1) + 28.6 = 3a + 3 + 28.6 = (3a + 28.6) + 3. Therefore, the model estimates that the boy's height increases by 3 inches each year.

Alternatively: The height, h, is a linear function of the age, a, of the boy. The coefficient 3 can be interpreted as the rate of change of the function; in this case, the rate of change can be described as a change of 3 inches in height for every additional year in age.

Choices B, C, and D are incorrect and are likely the result of dividing 28.6 by 5, 3, and 2, respectively. The number 28.6 is the estimated height, in inches, of a newborn boy. However, dividing 28.6 by 5, 3, or 2 has no meaning in the context of this question.

### More Past Questions:

## Discussion

### Other Subjects

- English Language
- Biology
- Mathematics
- Government
- Physics
- Economics
- Chemistry
- Christian Religious Knowledge
- Commerce
- Geography
- Literature In English
- Accounts
- Agricultural Science
- General Paper
- Islamic Religious Knowledge
- History
- Further Mathematics
- Current Affairs
- Civic Education
- Reading
- Writing and Language
- Computer Studies
- Igbo
- French
- Home Economics
- Yoruba
- Hausa
- Fine Arts