The life expectancy E , in solar lifetimes, of certain stars depends on their mass M , in solar masses. The relationship is $E = M^ { - 2 S }$ As mass increases, life expectancy decreases. What can you say about the rate of decrease? A graph of E versus M can help you answer this question.
A) Life expectancy decreases at a decreasing rate.
B) Life expectancy decreases at an increasing rate.
C) Life expectancy reaches a point of inflection.
D) None of the above.

Question

Quizplus · Accepted Answer

The equation $E = M^{-2S}$ shows that as mass (M) increases, life expectancy (E) decreases because of the negative exponent. However, the rate of decrease slows down because the life expectancy is inversely proportional to the square of the mass, indicating a decreasing rate of decrease.

The Life Expectancy E , in Solar Lifetimes, of Certain E=M−2SE = M^ { - 2 S }E=M−2S

The Life Expectancy E , in Solar Lifetimes, of Certain $E = M^ { - 2 S }$