00:01
Okay, so we're given this question where a varnish is stored at 40 degrees fahrenheit.
00:05
And just after two hours, it goes up to 58 degrees fahrenheit.
00:09
We want to figure out how much longer we have to wait for it to get to 68 degrees fahrenheit.
00:14
So i have the formula for exponential growth, which is a equals p times e raised to the r times t.
00:22
First, we need to find the rate of growth.
00:25
So let's plug in the numbers that we already know.
00:28
We know that the varnish ends up at 58 degrees fahrenheit, and it starts off at 40 degrees fahrenheit.
00:39
Now we don't know rate, but it's been two hours, so we can multiply that by 2.
00:44
If we solve for r, we would get r is equal to the natural log of 58 divided by 40 all over 2.
00:59
Now, we don't need the exact number because we're going to plug it into another formula that will help us figure out how much longer we have to wait for it to get to 68 degrees fahrenheit...