Hello, Please help me solve this application problem... ECOLOGY: The rater at wh

Question

Hello, Please help me solve this application problem... ECOLOGY: The rater at which water evaporates from a certainreservoir depends on the air temperature. The table belowshows the number of acre-feet (af) of water per day that evaporatefrom the reservoir for various temperatures in degreesFahrenheit. TEMPERATURE, Farenheit       af          40                                    800          60                                    1640          70                                    2060          85                                    2690 a. Find a linear model for the number of acre-feet of waterthat evaporate as a function of temperature. b. Explain the meaning of the slope of this line in thecontext of this problem. c. Assuming that water continues to evaporate at the samerate, how many acre-feet of water will evaporate per day when thetemperature is 75 degrees farenheit? Hello, Please help me solve this application problem... ECOLOGY: The rater at which water evaporates from a certainreservoir depends on the air temperature. The table belowshows the number of acre-feet (af) of water per day that evaporatefrom the reservoir for various temperatures in degreesFahrenheit. TEMPERATURE, Farenheit       af          40                                    800          60                                    1640          70                                    2060          85                                    2690 a. Find a linear model for the number of acre-feet of waterthat evaporate as a function of temperature. b. Explain the meaning of the slope of this line in thecontext of this problem. c. Assuming that water continues to evaporate at the samerate, how many acre-feet of water will evaporate per day when thetemperature is 75 degrees farenheit?

Explanation / Answer

a You want to use the point slope formula y – y1=m(x – x1) to utilize this formula pick any two points. I used(40,800) and (85,2690) and got y = 42x - 880 b. The slope describes the rate of change of the volumeof the reservoir in terms of acre-ft for any give change intemperature. In this case, an additional 42 acre-ft willevaporate for every one degree faranheit raised. c. y(75)= 42*(75)-880 = 2690 acre-ft

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