INTERVENTION UNIT 6 TEST

Last updated over 2 years ago
16 questions
Formulas

Exponential function: f(x)=a(b)^x

Exponential GROWTH Function: y=a(1+r)^t

Exponential DECAY Function: y=a(1-r)^t
Required
1

Which exponential function matches the values in the table below?

Required
1

What are the next three terms in the sequence 144, 72, 36, 18, ...?

Required
1

When a ball is dropped, the function f(x) =6(0.8)^x models the ball’s height in feet after each bounce, where x is the bounce number. To the nearest hundredth, what is the height after the third bounce?

Required
1

The first term of a geometric sequence is 3 and the common ratio is 4. What is the fifth term of the sequence?

Required
1

Evaluate y=9(2)^x when x=3

Required
1

What is the value of x?

Required
1

The population of a town over the past 10 years can be represented with the equation y =3175(1.08)^x.
Which statement below is FALSE?

Required
1

Which set of ordered pairs satisfies an exponential equation?

Required
2

Select ALL expressions that equal 6 when simplified.

Required
2

Complete the table and graph the function.

Click "show your work".

Required
1

Does this function represent growth or decay?

Required
2

Select the correct Domain and Range for the graph below.


Select TWO:

Required
2

A pond has 317 fish, and the population decreases by 5% each day. Find the number of fish in the pond after 4 days.

Round to the nearest whole number.

Required
3

Kevin has $99 in his savings account. He is looking at two savings plans.

Under Plan A, his account balance can be represented with the equation f(t)=99+10t each year.

Under Plan B, his account balance can be represented with the equation g(t)=99(1.09)^t each year.

Complete the table then select the THREE statements that are TRUE.

Required
1

Describe the end behavior for the function:

Required
2

A scientist tracked the population of northern sea otters from 2015 to 2020. In 2015 there were 50 sea otters. According to the scientist, the population was increasing at a rate of 13% annually.

Write the function P(t) that describes the population of sea otters as a function of the number of years, t.