Interpreting & Analyzing Exponential Functions

Which Exponential Formula?

Identify each variable?

• k

• unknown

• x

• 60

• a

• 20

• f(x)

• 0

• b

• .90

If a pendulum swings to 90% of its height on each swing and starts out at a height of 60 cm. What would happen after the 20th swing?

Round to the hundredth.

Which Exponential Formula?

Identify each variable?

• n

• 2

• A(t)

• 860

• t

• .088

• P

• unknown

• r

• 9

You were charged 8.8% compounded semi annually on your loan of $860 for a 9 year term. What total did you pay to borrow the money after 9 years?

Which Exponential Formula?

Identify each variable?

• x

• b

• k

• f(x)

• a

In sporting tournaments, teams are eliminated after they lose. The number of teams in the tournament then decreases by half with each round. If there are 16 teams left after 3 rounds, how many teams started out in the tournament?

Which Exponential Formula?