Intro Final Exponential Review

Thirty-two teams are participating in a basketball tournament. Only the winning teams in each round advance to the next round, as shown in the table below.

Which function type best models the relationship between the number of rounds completed and the number of teams remaining?

• absolute value

• exponential

• linear

• quadratic

Which table best represents an exponential relationship?

• Table A

• Table B

• Table C

• Table D

Sunny purchases a new car for $29,873. The car depreciates 20% annually. Which expression can be used to determine the value of the car after t years?

• 29,873(0.20)^t

• 29,873(20)^t

• 29,873(1 - .20)^t

• 29,873(1 + .20)^t

Emily was given $600 for her high school graduation. She invested it in an account that earns 2.4% interest per year. If she does not make any deposits or withdrawals, which expression can be used to determine the amount of money that will be in the account after 4 years?

• 600(1 + 0.24)^4

• 600(1 - 0.24)^4

• 600(1 + 0.024)^4

• 600(1 - 0.024)^4

Susan won $2,000 and invested it into an account with an annual interest rate of 3.2%. If her investment were compounded monthly, which expression best represents the value of her investment after t years?

• 2000(1.003)^12t

• 2000(1.032)^t

• 2064t

• 2000(1.032)^(t/12)

In the equation A = P(1 ± r)^t, A is the total amount, P is the principal amount, r is the annual interest rate, and t is the time in years. Which statement correctly relates information regarding the annual interest rate for each given equation?

• For A = P(1.025)^t, the principal amount of money is increasing at a 25% interest rate.

• For A = P(1.0052)^t, the principal amount of money is increasing at a 52% interest rate.

• For A = P(0.86)^t, the principal amount of money is decreasing at a 14% interest rate.

• For A = P(0.68)^t, the principal amount of money is decreasing at a 68% interest rate.

The value of an automobile t years after it was purchased is given by the function V = 38,000(0.84)^t. Which statement is true?

• The value of the car increases 84% each year.

• The value of the car decreases 84% each year.

• The value of the car increases 16% each year.

• The value of the car decreases 16% each year.

Which function represents exponential decay?

• p(x) = (1/4)^(-x)

• q(x) = 1.8^(-x)

• r(x) = 2.3^2x

• s(x) = 4^(x/2)

Which expression is not equivalent to (5^2 * 3)^2?

• (5^3)^6

• (5^3 * x)^2

• (5^5)^x

• (5^2)^3x

Given x > 0, the expression can be rewritten as