Next year's value of quantity 1 is obtained by multiplying this year's value of quantity 1 by 0.75.Next year's value of quantity 2 is obtained by adding 0.75 to this year's value of quantity 1.Which of the two quantities are decaying exponentially?

Question

Next year's value of quantity 1 is obtained by multiplying this year's value of quantity 1 by 0.75.Next year's value of quantity 2 is obtained by adding 0.75 to this year's value of quantity 1.Which of the two quantities are decaying exponentially? ​

Quizplus · Accepted Answer

Quantity 1 is decaying exponentially because its value each year is obtained by multiplying the previous year's value by a constant factor (0.75). Quantity 2 is not decaying exponentially; it is increased by a constant amount (0.75) each year, which is a linear change, not exponential.

Next Year's Value of Quantity 1 Is Obtained by Multiplying