Between the ages of 7 and 11 years, a certain boy grows 1.5 inches taller each year. At age 8, he is 50 inches tall. (a) Explain why, during this period, the function giving the height of the boy in terms of his age is linear. ************** Since the rate of change -Select- and equals Identify the slope of this function. in/yr , the boy's height is a linear function of time. (b) Use a formula to express the height H of the boy as a linear function of his age A during this period. H(A) = (c) What is the initial value of the function that you found in part (b)? H(0) = (d) Studying a graph of the boy's height as a function of his age from birth to age 7 reveals that the graph is increasing and concave down. Does this indicate that this actual height (or length) at birth was larger or smaller than your answer to part (c)? O larger O smaller

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Between the ages of 7 and 11 years, a certain boy grows 1.5 inches taller each year. At age 8, he is 50 inches tall.
(a) Explain why, during this period, the function giving the height of the boy in terms of his age is linear.
Since the rate of change -Select- and equals
Identify the slope of this function.
in/yr
(b) Use a formula to express the height H of the boy as a linear function of his age A during this period.
H(A) =
(c) What is the initial value of the function that you found in part (b)?
H(0) =
, the boy's height is a linear function of time.
(d) Studying a graph of the boy's height as a function of his age from birth to age 7 reveals that the graph is increasing and concave down. Does this indicate that this actual height (or length)
at birth was larger or smaller than your answer to part (c)?
O larger
O smaller
Explain your reasoning.
Transcribed Image Text:Between the ages of 7 and 11 years, a certain boy grows 1.5 inches taller each year. At age 8, he is 50 inches tall. (a) Explain why, during this period, the function giving the height of the boy in terms of his age is linear. Since the rate of change -Select- and equals Identify the slope of this function. in/yr (b) Use a formula to express the height H of the boy as a linear function of his age A during this period. H(A) = (c) What is the initial value of the function that you found in part (b)? H(0) = , the boy's height is a linear function of time. (d) Studying a graph of the boy's height as a function of his age from birth to age 7 reveals that the graph is increasing and concave down. Does this indicate that this actual height (or length) at birth was larger or smaller than your answer to part (c)? O larger O smaller Explain your reasoning.
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