Back to 6.7 Exponential and Logarithmic Models

Using Newton’s Law of Cooling

Avg difficulty 2.5

A cheesecake is taken out of the oven with an ideal internal temperature of $\text{165}°\text{F},$ and is placed into a $35°F$ refrigerator. After 10 minutes, the cheesecake has cooled to $\text{150}°\text{F} .$ If we must wait until the cheesecake has cooled to $\text{70}°\text{F}$ before we eat it, how long will we have to wait?

OpenStax Algebra and Trigonometry 2e, 6.7 Exponential and Logarithmic Models, exercise 16

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.