Question

You are taking a road trip in a car without A/C. The temperture in the car is 109 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 12 minutes.

How long will it take the pop to reach a temperature of 76.25 degrees F?

Answer 1

we can use formula

we are given

now, we can plug values

we have

T(12)=60

we can use it and solve for k

now, we can plug back k

and we get

now, we can set

T(t)=76.25

and then we can solve for t

so, we get

...........Answer