EXPONENTIAL GROWTH

What does exponential growth mean?

• A. Increases rapidly

• B. Decreases over time

• C. Stays the same

• D. Increases at a constant rate

Which of the following is an example of exponential growth?

• A. A candle burning

• B. A bank account gaining compound interest

• C. A car losing value

• D. A melting ice cube

If k>0, what does that mean?

• A. The value is increasing over time.

• B. The value is decreasing over time.

• C. The value stays the same.

• D. The value is approaching zero.

What does the variable k represent in the exponential growth formula?

• A. The initial amount

• B. The time

• C. The growth rate

• D. The final amount

What is the general formula for exponential growth?

• A.P(t) = P₀e^kt

• B. P(t) = P₀e^-kt

• C. P(t) = P₀ + kt

• D. P(t) = kP₀t

If something grows exponentially, how does it change over time?

• A. It increases by the same amount each time.

• B. It increases by a percentage of its current value.

• C. It suddenly jumps to a high number.

• D. It grows and then stops.

What is the base of the natural exponential function?

• A. π

• B. 10

• C. e

• D. 1

A YouTube video starts with 200 views and triples every hour. How many views will it have after 3 hours?

• A. 1,200 views

• B. 1800 views

• C. 5,400 views

• D. 7,200 views

If a bank account starts with ₱1,000 and grows continuously at a rate of 5% per year, how much will it be worth after 2 years?

• A. ₱1,050.00

• B. ₱1,105.17

• C. ₱1,200.00

• D. ₱1,500.00

A population of 500 grows at a continuous rate of 3% per year. How many people will there be after 5 years?

• A. 530 people

• B. 579 people

• C. 582 people

• D. 600 people