Exponential Growth Models

Find the initial population for Species X.

• 5

• 15

• 3

• 10

How confident are you feeling with exponential growth functions?

• Very confident and could help a friend!

• Fairly confident, but would like more practice.

• Not confident yet and would like some help.

Which function models the table?

• h(x)= 25x+5

• h(x)= 5x+25

• h(x)= 25(5)^x

• h(x)=5(25)^x

A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?

• f(h) = 3(6)^h

• f(h) = 6x^h

• f(h) = 6(3)^h

• f(h) = 3(6h)

Find the equation of the exponential function represented by the table.

What can we use to write an exponential function from a table?

(a)  

• G

• F

• H

• J

The function f(x) has an initial value of 4 and a growth factor of 3. Write the equation of the exponential function

Mathematical Equivalence

ON

A city doubles its size every 64 years. If the population is currently 225,000, what will the population be in 128 years?

• The population will be 225,000.

• The population will be 450,000.

• The population will be 900,000.

• The population will be 1,800,000.

You have 30,016 grams of radioactive kind of rubidium. How much will be left after 54 minutes if its half-life is 18 minutes?

• 15,008 grams.

• 7,504 grams

• 3,752 grams.

• 1,876 grams.

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• y = 70(2)³⁵

• y = 70(2)⁵

• y = 2(70)⁵

• y = 5(70)²