The height in meters of women of a certain tribe is approximated by $h = 0.52 + 2 \log ( t / 3 )$ where $t$ 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.
A) 0.52 m
B) 0.96 m
C) 0.77 m
D) 1.12 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 $\log (4 / 3)$ and then multiply by 2, add 0.52, and round to the nearest hundredth to get approximately 0.77 m.

The Height in Meters of Women of a Certain Tribe h=0.52+2log⁡(t/3)h = 0.52 + 2 \log ( t / 3 )h=0.52+2log(t/3)

The Height in Meters of Women of a Certain Tribe $h = 0.52 + 2 \log ( t / 3 )$