00:01
The temperature t in degrees sparing high after six hours is given by the following equation.
00:06
We need to find and interpret t4t, 8, t12.
00:11
And then using that information, we need to find the rate of change over the intervals of 4 to 8, 8 to 12, and between 4 to 12.
00:22
So we're first going to plug in 4 for all our t's.
00:26
So we have negative 1⁄2, parentheses, plus 8 times parentheses, plus 32.
00:32
We plug in fours for all of those.
00:38
And we get t is equal to 56.
00:42
So that means at 10 a .m., at 10 a .m., it is 56 degrees fahrenheit.
01:01
So now we're going to do the same thing for 8.
01:02
So negative 1⁄, plus 8 times parentheses, plus 32.
01:07
We're going to replace eight in our parentheses.
01:11
So we get x is equal, our t is equal to 64.
01:16
So eight hours, so that's four more hours from 10 o 'clock.
01:23
So that's at 2 p .m.
01:28
It is 64 degrees fahrenheit.
01:33
Then we plug in 12, parentheses squared, plus 8 times parentheses plus 32...