An object with initial temperature 120 is submerged in large tank of water whose temperature is 40 degrees farenheit.

Question

An object with initial temperature 120 is submerged in large tank of water whose temperature is 40 degrees farenheit. Find a formula for f(t), the temperature of the object after t minutes, if the cooling constant is k=1.2

Answer 1

Use the linear function of the form: f(x) = m x + b. Here replace "x" with "t" (time) and keep "f" as temperature in Fahrenheit. Recall the meaning of "b" being as the y-intercept or the initial f-value. What is the initial f-value here? (Read the problem and substitute for it). Recall the meaning of the "m" as being a slope. What slope value do they give here? (read the problem for this). Is it positive (heating up) or negative (cooling down)? Substitute for that value as well. You got the final function. Good luck!