Exponential Growth, Decay, and Compound Interest Quiz

What is the base of the exponential growth function when the growth rate is 20%?

• 2.0

• 1.02

• 0.8

• 1.2

What is the growth factor if the growth rate is 50%?

• 1.5

• 0.5

• 1.05

• 2.0

In the bald eagles problem, what is the estimated number of years it takes for the population to return to its 1782 level?

• 50 years

• 55 years

• 60 years

• 65 years

How do you determine if a sequence is exponential?

• Check if the differences are constant

• Check if the ratios are constant

• Check if the product is constant

• Check if the sum is constant

When solving exponential equations, which part of the equation should be calculated first according to the order of operations?

• Subtraction

• Addition

• Exponentiation

• Multiplication

What indicates that a function represents exponential decay?

• The base is less than 1

• The base is greater than 1

• The exponent is positive

• The exponent is negative

If a function is y = 4(1 - 0.05)^t, what is the rate of decay?

• 5%

• 20%

• 10%

• 15%

What is the formula for compound interest when compounded quarterly?

• A = P(1 + rt)

• A = P(1 - r/n)^(nt)

• A = P(1 + r/n)^(nt)

• A = P(1 + r)^t

If $100 is deposited at an annual interest rate of 6% compounded monthly, what is the value of n in the compound interest formula?

• 6

• 1

• 12

• 4

In the context of compound interest, what does the variable 't' represent?

• The number of compounding periods per year

• The principal amount

• The interest rate

• The time in years