6. A liquid starts at a temperature of 190 F and cools down in a room held at a constant 65 'F. Afte- minutes of cooling, it is at a temperature of 92 °F. The Fahrenheit temperature, F, can be modeled function of time in minutes, t, by the equation: F(t) = a(b) +c (a) Determine the values of the parameters a, b, and c. Round the value of b to the nearest hundredth. the equation of your final model. Show the work that leads to each of your answers. (b) Algebraically, determine the number of minutes it will take for the temperature to reach 70 °F.R the nearest tenth of a minute.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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6. A liquid starts at a temperature of 190 °F and cools down in a room held at a constant 65 F. After 10
minutes of cooling, it is at a temperature of 92 °F. The Fahrenheit temperature, F, can be modeled as
function of time in minutes, t, by the equation:
F (t)= a (b)' +c
(a) Determine the values of the parameters a, b, and c. Round the value of b to the nearest hundredth. State
the equation of your final model. Show the work that leads to each of your answers.
(b) Algebraically, determine the number of minutes it will take for the temperature to reach 70 °F. Round to
the nearest tenth of a minute.
Transcribed Image Text:6. A liquid starts at a temperature of 190 °F and cools down in a room held at a constant 65 F. After 10 minutes of cooling, it is at a temperature of 92 °F. The Fahrenheit temperature, F, can be modeled as function of time in minutes, t, by the equation: F (t)= a (b)' +c (a) Determine the values of the parameters a, b, and c. Round the value of b to the nearest hundredth. State the equation of your final model. Show the work that leads to each of your answers. (b) Algebraically, determine the number of minutes it will take for the temperature to reach 70 °F. Round to the nearest tenth of a minute.
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