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.

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 and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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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