Question

In an experiment, a person’s body temperature is given by T=310-10(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?

Answer 1

After an infinite number of minutes, 10x(7/9)^n approaches 0. So, 310-0=310 Kelvin is the temperature the body approaches. ☺☺☺☺

Answer 2

310°K

Explanation:

Person's body temperature is given by T = 310 - 10
`((7)/(9))^n`

Where n is the number of minutes and T is the temperature in Kelvin (K)

After a long time when n ⇒ ∞, fraction
`((7)/(9))` ⇒ 0

So after a long time temperature T = 310 - 0

T = 310° K

Therefore, 310°K will be the answer.