SOLUTION: The rate at which water evaporates from a certain reservoir depends on the air temperature. The table below shows the number of acre-feet (af) of water per day that evaporates from

Algebra ->  Finance -> SOLUTION: The rate at which water evaporates from a certain reservoir depends on the air temperature. The table below shows the number of acre-feet (af) of water per day that evaporates from      Log On


   

Question 1128514: The rate at which water evaporates from a certain reservoir depends on the air temperature. The table below shows the number of acre-feet (af) of water per day that evaporates from the reservoir for various temperatures in degrees Fahrenheit.
Temperature (°F) (af)
40 880
60 1720
70 2140
85 2770
(a) Find a linear model for the number of acre-feet of water that evaporates as a function of temperature.
E(T) =
(b) Explain the meaning of the slope of this line in the context of this problem.
The value of the slope means that an additional _______ af evaporates for a 1°F increase//decrease? in temperature.
(c) Assuming that water continues to evaporate at the same rate, how many acre-feet of water will evaporate per day when the temperature is 75°F? _____af
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The slope between any pair of adjacent numbers is 840/20=42
point slope formula is y-y1=m(x-x1) m slope and (x1, y1) point
y-880=42(x-40)
y-880=42x-1680
y=42x-800
the slope is the number of acre feet that evaporate for each increase in temperature of 1 degree F.
When the temp is 75 degrees, number of AF evaporating is 75*42-800=2350 AF