Question

question which of the contexts below represents exponential growth? answer snow was falling at a rate of 1.25 inches per hour. a car depreciates at a rate of 5.3% per year. a certain population of 32 aggressive zombies triples every hour. a radioactive compound decays at a rate of 29% per hour.

Explanation:

Step1: Recall exponential growth concept

Exponential growth occurs when a quantity increases by a fixed percentage or multiple in each time - step.

Step2: Analyze each option

• "Snow was falling at a rate of 1.25 inches per hour" is a linear growth (constant rate of change).
• "A car depreciates at a rate of 5.3% per year" is exponential decay.
• "A certain population of 32 aggressive zombies triples every hour": If the initial population is $P_0 = 32$, after 1 hour $P_1=32\times3$, after 2 hours $P_2 = 32\times3\times3=32\times3^{2}$, etc. This is exponential growth with a growth factor of 3.
• "A radioactive compound decays at a rate of 29% per hour" is exponential decay.

Answer:

A certain population of 32 aggressive zombies triples every hour.