Exponential Functions

What is the starting amount in the problem below?

f(t) = 300(1.05)^t

Mathematical Equivalence

ON

What is the common ratio for the function f(x) = 25 (4)^x

• 25

• 4

b⁰ =

• -1

• 0

• 1

Describe this function.

• Exponential Growth

• Exponential Decay

• Linear Positive

Describe the function.

• Exponential Growth

• Exponential Deacy

• Positive Linear

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Which of the following is an increasing exponential function whose y-intercept is 50?

• y = 50(.05)^x
• y = 50x - 4
• y = (2)^x + 50
• y = 50(1.4)^x

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%
• 13%
• 800%
• 8.7%

A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?

Mathematical Equivalence

ON