My Notes Ask Your EXAMPLE 3 A mother takes a cake out of the oven and sets it on

Question

My Notes Ask Your EXAMPLE 3 A mother takes a cake out of the oven and sets it on a rack to cool. The function T(e)-68 +220e-0.18t gives the cake's temperature in degree Fahrenhelt after It has cooled for t minutes. If her children wil be home from school in 20 minutes, will the cake have cooled enough for the children to eat it? (Assume that 80°F, or cooler, would be a comfortable eating temperature.) Strategy We will substitute 20 for t in the function Te) 68+220e-0.8 Why The variable t represents the number of minutes the cake has cooled. Solution When the children arrive home, the cake will have cooled for 20 minutes. To find the temperature of the cake at that time, we need to find T(20). (Round your answer to the nearest whole number) 68 220e0.18 T(20) 68+220-0.1820) Substitute 20 for t 68+ 220e3.6 Use a calculator When the children retum home, the temperature of the cake will be about , and it can be eaten Need Help? e

Explanation / Answer

T(t) = 68 + 220 e^-0.18t

substituting t = 20

T(20) = 68 + 220 e^-0.18(20)

T(20) = 74.01

when the children return home , the temperature of the cake will be about 74.01 degrees and it can be eaten

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.