Unit 3 Review - Logs and Exponents

• 0.78

• 0.89

• 1.77

• 3.54

At the end of each round of a basketball tournament, half the teams are eliminated. If the tournament starts with 64 teams, which equation shows how many rounds , r, must be completed to have 2 teams left?

The population of a town has been increasing exponentially each year for the past 10 years. The initial population was 45,000 and the population now is 90,000. What is the approximate growth rate to the nearest percent. Hint: Use the population growth equation.

• 2%

• 5%

• 7%

• 10%

The population of a bacteria, P , after t hours is represented by the function P(t)=400(1.4)^3t. Which equation represents the inverse of P(t)?

A bank account earns 0.4% interest each month . It starts with $20,000. Which function represents the account after x years

This table represents bacteria f(x) after x hours. Which function best describes the population of bacteria after x hours.

• Vertical stretch by 2, Reflect by 6

• Horizontal shift by 2, Shift down 6

• Vertical stretch by 2, Shift down 6

• Vertical stretch by 6. Shift up 2

The function f(x) = 4^x + 3 and g(x) = 4^x - 10 are related by the equation

g(x) = f(x) + k. What is the value of k?

• k = -10

• k = 13

• k = 7

• k = -13