According to a NASA study of satellite data, the mass
of the Antarctic ice sheet increased by 112 billion
tons of ice each year from 1992 to 2001. For these
years, which of the following types of functions best
models the mass, in tons, of the Antarctic ice sheet as
a function of time, in years?
A) Increasing linear
B) Decreasing linear
C) Increasing exponential
D) Decreasing exponential

Answers

Answer 1

With regard to the study on NASA, the correct answer is Option A.

What is the explanation for the above response?

Since the mass of the Antarctic ice sheet increased each year during the given period, the function that best models this trend is an increasing function. Therefore, we can eliminate options B and D, which both suggest a decreasing trend.

Between options A and C, we can consider the rate of increase in the mass of the Antarctic ice sheet. The passage states that the mass increased by 112 billion tons of ice each year, which suggests a constant rate of increase. This is better modeled by a linear function rather than an exponential function. Therefore, the answer is option A) Increasing linear.

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