1. The population of the senior high school students in Makati are represented by the function

f(x) = 300(1. 25)
^x
where x is the number of years since the year 2015.

a. In the above equation what does 300 represent?

b. In the above equation what does 1.25 represent?

c. Predict the number of senior high school students in the year 2023.

2. The height of a bouncing ball (measured in inches) after x bounces is represented by the

function: f(x) = 120(0. 75)
^x


a. About how high does the ball bounce after the first bounce?

b. About how high does the ball bounce after the fifth bounce?

c. How many bounces will it take for the ball to reach no higher than 1 inch?


3. Look at the equations below. Which of them is NOT exponential? (Cross it out!) For the

exponential equations, determine whether the equation represents exponential growth,

exponential decay, or neither. Explain.
a.y= 10(2)
^x

b. y(x) = 20(0.5)
^x

c. g(x) = 3^x+1

d. y=
1/2(3)
^x

e. y = 10(x)
^2


f.
y = 100(
3/2)^x​