SOLUTION: You are taking a road trip in a car without A/C. The temperture in the car is 92 degrees F. You buy a cold pop at a gas station. Its initial temperature is 45 degrees F. The pop's

SOLUTION: You are taking a road trip in a car without A/C. The temperture in the car is 92 degrees F. You buy a cold pop at a gas station. Its initial temperature is 45 degrees F. The pop's

Algebra.Com

Question 1006001: You are taking a road trip in a car without A/C. The temperture in the car is 92 degrees F. You buy a cold pop at a gas station. Its initial temperature is 45 degrees F. The pop's temperature reaches 60 degrees F after 43 minutes.
Given that
\frac{T-A}{T_0 - A} = e^{-kt}
where T = the temperature of the pop at time t.
T_0 = the initial temperature of the pop.
A = the temperature in the car.
k = a constant that corresponds to the warming rate.
and t = the length of time that the pop has been warming up.

How long will it take the pop to reach a temperature of 74.5 degrees F?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Solve for

.

Once you know the value of

, you can solve:

for

.

John

My calculator said it, I believe it, that settles it

RELATED QUESTIONS
Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the... (answered by greenestamps)

You are going on a road trip over a distance of 3000 kilometers with three friends. The... (answered by macston)

If you are planning a 2000 mile road trip and your car gets 36mpg, if gas costs $1.90 per (answered by stanbon)

If you are planning a 2000 mile road trip and your car gets 36mpg, if gas costs $1.90 per (answered by ikleyn)

If you are planning a 2000 mile road trip and your car gets 36mpg, if gas costs $1.90 per (answered by stanbon)

You are planning a 250mile road trip. Your car gets 32 miles per Gallon on the highway.... (answered by Alan3354)

a car driving at 55 miles per hour. The car give you 11 kilometers in in one liter of... (answered by stanbon)

The odometer reading on your car is 23,134.8 miles at the start of a trip. When you get... (answered by ReadingBoosters)

Your car has a 12 gallon gas tank. you start off your week with a full tank. during the... (answered by ikleyn)