In an experiment a persons body temperature is given by T=310-(7/9)^n where n is the number of minutes after in an experiment a persons body temperature is given by T=310-(7/9)^n where n is the number of minutes after the start of the experiment and T is the temperature in kelvin (K). what temperature does the body approach after a long time?

Question

A. 310
B. 300
C. 305
D. 450

Answer 1

after a "long time" t --->∞
and (7/9)^t becomes smaller and smaller
eventually it will approach zero
so we are left with

T = 310 - 0 = 310

check:
test with t = 100
T = 310 - (7/9)^100
= 310 - 1.2177x10^-11
= 310 - 0 for all practical purposes
= 310