Find Rate of Change Table for Exponential Functions

Does the table show an exponential function pattern?

• Yes, there is a constant factor of 3

• Yes, there is a constant factor of 4

• No, it is linear there is a constant rate of change of 4

• No, there is no pattern

Will Species X reach a population of 1215 in year 5?

• Yes, the point (5, 1215) is a solution on the graph.

• No, the point (5, 1215) is NOT a solution on the graph.

Identify the equation that best models the growth of Species X

Using the table below, find the equation that matches

• y = 20(2)^x

• y = 20(1/2)^x

• y = 2(20)^x

• y = 20(1.25)^x

An initial investment of $1000 reaches a value, V(t), according to the model V(t) = 1000(1.01)^(4t), where t is the time in years. Determine the average rate of change, to the nearest dollar per year, of this investment from year 2 to year 7.

Find the average rate of change for the interval [0, 3] for the function given below.

f(x) = 3^{x + 7} + 10

The number of grams, y, of a radioactive element that remains after t hours can be modeled by the equation y=2.45(0.84)^t. What is the rate of increase or decrease of this radioactive element?

• 16% increase per hour

• 84% increase per hour

• 84% decrease per hour

• 16% decrease per hour

Great Amusements Park has been raising its ticket prices every year, as shown in the table. Write an equation that represents the ticket price for year x.

• y = 5x + 50

• y = 50(1.10)^x

• y = 42.5(1.05)^x

• y = 50(5)^x

Write an equation that presents the population for any year.

• y = x + 5

• y = 5(1)^x

• y = 1.2x + 5

• y = 5(1.2)^x

What is the pattern you see in this table?

• Common Ratio = 1/3

• Common Difference = 8

• Common Ratio = 3

• Common difference = 3