Choose the one alternative that best completes the statement or answers the question.
-The height in meters of women of a certain tribe is approximated by $\mathrm { h } = 0.52 + 2 \log ( \mathrm { t } / 3 )$ where $\mathrm { t }$ is the woman's age in years and $1 \leq t \leq 20$. Estimate the height (to the nearest hundredth) of a woman of the tribe 4 years of age. (Round to the nearest hundredth.)
A) $1.12 \mathrm {~m}$
B) $0.96 \mathrm {~m}$
C) $0.52 \mathrm {~m}$
D) $0.77 \mathrm {~m}$

Question

Quizplus · Accepted Answer

To find the height of a 4-year-old woman, substitute $ t = 4 $ into the equation: $ h = 0.52 + 2 \log (4/3) $. Calculate $ \log (4/3) \approx 0.1249 $. Then, $ h = 0.52 + 2 \times 0.1249 = 0.52 + 0.2498 = 0.7698 $. Rounded to the nearest hundredth, the height is $ 0.77 \mathrm{~m} $.

Choose the One Alternative That Best Completes the Statement or Answers