Question

6.4 exponential growth and decay quiz

which statement best describes exponential growth?

• a quantity increases by a constant percent
• a quantity stays the same
• a quantity increases by the same amount each time
• a quantity decreases by a constant percent

Explanation:

Define exponential growth

Using the Exponential Growth knowledge point
Exponential growth occurs when a quantity increases by a constant percentage rate over equal time intervals, rather than by a constant absolute amount.

Analyze the given options

• A quantity increases by a constant percent: This matches the definition of exponential growth, where the growth rate is proportional to the current value.
• A quantity stays the same: This describes a constant function, representing no growth or decay.
• A quantity increases by the same amount each time: This describes linear growth, where the rate of change is constant.
• A quantity decreases by a constant percent: This describes exponential decay.

Select the correct statement

The statement that best describes exponential growth is "A quantity increases by a constant percent".

Answer:

• (A) A quantity increases by a constant percent (Correct answer)
• (B) A quantity stays the same
• (C) A quantity increases by the same amount each time
• (D) A quantity decreases by a constant percent