Chapter 1.2, Problem 18E

Reminder Round all answers to two decimal places unless otherwise indicated.

Growth in Weight The following table gives, for a certain man, his weight $W=W\left(t\right)$ in pounds at age $t$ in years.

$t=Age\left(years\right)$	$W=Weight$ (pounds)
$4$	$36$
$8$	$54$
$12$	$81$
$16$	$128$
$20$	$156$
$24$	$163$

a. Make a table showing, for each of the $4$- year periods, the average yearly rate of change in $W$.

b. Describe in general terms how the man’s gain in weight varied over time. During which $4$-year period did the man gain the most in weight?

c. Estimate how much the man weighed at age $30$.

d. Use the average rate of change to estimate how much he weighed at birth. Is your answer reasonable?