arianna Willoughby: Attempt 1 Question 14 (5 points) ✓ Saved Solve the problem. A dish of lasagna baked at 350°F is

Question

arianna Willoughby: Attempt 1
Question 14 (5 points)
✓ Saved
Solve the problem.
A dish of lasagna baked at 350°F is taken out of the oven into a kitchen that is 73°F.
After 7 minutes, the temperature of the lasagna is 291.3°F. What will its temperature
be 15 minutes after it was taken out of the oven? Round your answer to the nearest
degree.

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Thu Thủy 5 months 2021-08-14T05:12:38+00:00 1 Answers 3 views 0

Answers ( )

    0
    2021-08-14T05:13:40+00:00

    Step-by-step explanation:

    So:

    T(7)=68+(350-68)e^-kt

    299.8=68+282e^-7k

    e^-7k=0.82198581560283687943262411347518

    ln e^-7k=ln 0.82198581560283687943262411347518

    -7k=-0.1960321400324622534737708260656

    k=0.02800459143320889335339583229509

    Then:

    T(12)=68+(350-68)e^-12(0.02800459143320889335339583229509)

    T(12)=68+(282)0.71458373316960990812286116751929

    T(12)=269.512 degrees 12 minutes out of the oven.

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