Steven warms a cup of a coffee to a temperature of 195°F and then leaves it to cool in a room that is 75°F. This equation repres

Question

3 years ago

10

Steven warms a cup of a coffee to a temperature of 195°F and then leaves it to cool in a room that is 75°F. This equation repres

ents the
temperature, T, of the coffee in the cup after x minutes.
T = 75 + 120e-0.051
After how many minutes will the temperature of the coffee be approximately 141°F?

Mathematics

2 answers:

serg [7] · Answer 1 · 2022-11-22T04:49:16+03:00

serg [7]3 years ago

7 0

Answer:

12 minutes

Step-by-step explanation:

worty [1.4K] · Answer 2 · 2022-11-22T03:03:49+03:00

worty [1.4K]3 years ago

6 0

Answer:

12 minutes

Step-by-step explanation:

First substitute 141°F for T in the given equation.

Then isolate the exponential term.

Now rewrite the equation as a natural log, and solve for x.