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Mathematics>Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

According to a standard weather table, when the air temperature is 59 degree Fahrenheit (°F) at sea level, the air temperature is 48.3°F at an altitude 3,000 feet (ft) above sea level. If air temperature depends linearly on altitude, then which of the following gives the air temperature, T, in °F, as a function of altitude, h, in feet?

A.T(h)=59-3.6h
B.T(h)=59-10.7h
C.T(h)=59-0.0107h
D.T(h)=59-0.0036h

答案和解析

答案：D

解析：

Option D is correct. The rate of change can be calculated by subtracting 48.3 from 59 and then dividing by 3000. Therefore, the rate of change is approximately 0.0036, and the initial value for T at sea level is 59°F.