Exponential growth

a.
remains constant.
b.
starts out slowly and remains slow.
c.
starts out slowly then becomes very rapid.
d.
starts rapidly and remains rapid.
e.
starts rapidly and then slows.

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Right.

c. starts out slowly then becomes very rapid.

Exponential growth refers to a pattern of growth where the quantity or value of something increases rapidly over time, usually at an accelerating rate. To determine which of the options accurately describes exponential growth, we need to understand the behavior of exponential growth.

In this case, the correct answer is option (d) - "starts rapidly and remains rapid."

Exponential growth typically starts with a small initial value, and then the growth rate increases rapidly. As time passes, the growth continues at this increasing rate, resulting in rapid and sustained growth. The rate of growth keeps getting faster as the value or quantity becomes larger.

To better understand exponential growth, let's consider an example:

Suppose a population of bacteria doubles in size every 24 hours. If there are initially 100 bacteria, after 24 hours, there will be 200 bacteria. After another 24 hours, the population will double again to 400 bacteria. This process continues with each doubling taking place in the same time frame. The growth rate remains rapid and stays consistent as the population grows.

In summary, exponential growth starts rapidly, with the growth rate remaining high and consistent over time. Option (d) best describes the behavior of exponential growth.