Question

The function f(x) = 50 Times 0.8^x Models the number of ants in Jonathan's ant farm after it is stricken by a deadly any plague, where x represents the number of weeks since Jonathan's first pet ant became sick. Which of the following statements are true.

A) The function models exponential decay
B) The function models exponential growth
C) The rate of growth or decay is 2%
D) The rate of growth or decay is 20%
E) The rate of growth or decay is 8%
F) The rate of Growth or Decay is 80%
G) Two weeks after the initial ant became sick, there are only 10 ants remaining.
H) Two weeks after the initial ant became sick, there are only 32 ants remaining

Answer 1

A, D, H

Explanation:

The function models exponential decay because the factor is 0.8 which is < 1

0.8 means 80% of the previous which is a decay of 100 - 80 = 20%

50(0.8^x)

50(0.8²)

= 32