When an oven is turned off, its interior temperature is given by  T = 70 + 380(0.9)t,  where T is the temperature (in °F) in the oven and t is the time in minutes after the oven is turned off. For each of the following, assume room temperature remains constant. (a) What is the oven temperature (in °F) after 10 minutes? (Round your answer to the nearest whole number.)  °F (b) Is it possible for the oven temperature to become less than 70°F? Explain. (Suggestion: Examine values of T when t is 20, 30, and 40 minutes.) (Yes.) The temperature of the oven can go below 70°F, since 380(0.9)t can be negative. (No)The temperature of the oven cannot go below 70°F, since 380(0.9)t cannot be negative.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter16: Table Of Decimal Equivalents And Combined Operations Of Decimal Fractions
Section: Chapter Questions
Problem 35A
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When an oven is turned off, its interior temperature is given by 
T = 70 + 380(0.9)t,
 where T is the temperature (in °F) in the oven and t is the time in minutes after the oven is turned off. For each of the following, assume room temperature remains constant.
(a)
What is the oven temperature (in °F) after 10 minutes? (Round your answer to the nearest whole number.)
 °F
(b)
Is it possible for the oven temperature to become less than 70°F? Explain. (Suggestion: Examine values of T when t is 20, 30, and 40 minutes.)
(Yes.) The temperature of the oven can go below 70°F, since 380(0.9)t can be negative.
(No)The temperature of the oven cannot go below 70°F, since 380(0.9)t cannot be negative.   
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