Step-by-step explanation:
1a)
it means that after 14 hours into the experiment the temperature of the liquid reaches exactly the temperature of the surrounding room at that moment : 10° F.
1b)
it is the point (14, 10), and I know, because both lines touch or cross each other at that point, as due to the equality relation both curves contain this point (meaning they have the same result value 10 for the same function argument 14).
4a)
because the slope of the line segment at the end is larger (making the line go up at a much steeper angle) than fire the line segment at the beginning.
4b)
it looks like the experiment started at hour 0 with the liquid being at around -5° F.
and it reached +10° F after about 10 hours.
the x (time) difference is +10 (from 0 to 10).
the y (temperature) difference is +15 (from -5 to 10).
so, the slope at the beginning of the excitement is about +15/+10 = 3/2.
and at the end of the experiment it looks like the last line segment starts at about 20 hours with the liquid at about -3° F. and it ends at hour 30 and at 30°F.
the x (time) difference is +10 (from 20 to 30).
the y (temperature) difference is +33 (from -3 to 30).
so, the slope at the end of the excitement is about +33/+10, which is much bigger than 15/10 at the beginning.
