The Fahrenheit temperature, F(t) of a heated object at time t, in minutes, can be modeled by the function below. Fs is the surrounding temperature, F, is the initial temperature of the object, and k is a constant. F(t) = Fs + (Fo-Fs)e -* Coffee at a temperature of 195' F is poured into a container. The room temperature is kept at a constant 68°F, and k = .05. Coffee is safe to drink when its temperature is, at most, 120°F to the nearest minute , how long will it take until the coffee is safe to drink?

i think the correct option is the second option.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

answer: the correct answer is -32

step-by-step explanation: