Algebra I Chapter 6 Test

1

A scientist began a study with a sample of 1,500 bacteria. He noticed that the number of bacteria in the sample after t days can be modeled by the equation P=1,500*5t. In this equation, what does 5t represent?

1

Determine whether the table represents an exponential growth function, an exponential decay function or neither.

1

A website has 400,000 members. The number y of members increases by 6% each year.

Write an exponential function that represents the website membership after t years. 
_______ 

How many members will there be after 6 years? 
Round your answer to the nearest ten thousand.
_______ 

2

Which statement(s) can be interpreted from the equation for an automobile cost, C(t)=28,000(0.73)t, where C(t) represents the cost and t represents the time in years?

Select all correct statements.

1

You deposit $300 in an investment account that earns 9% compound interest. Write a function that represents the total balance of the account after t years.

1

The first two terms of a sequence are a1=4 and a2=-2. Let a3 be the third term when the sequence is arithmetic and let b3 be the third term when the sequence is geometric. Find a3+b3.

1

Simplify the expression. Write your answer using only positive exponents.

1

Simplify the expression. Write your answer using only positive exponents.

2

You create a post on a social media site and tag four friends. In the second round, each of your friends tag four people, and the process continues.

A. Write a function that represents the number of people who are tagged in the nth round. _______ 
B. In which round will 1024 people be tagged? _______ 

1

Heather is trying to save money for a vacation. On the first day she puts $3 away. Tomorrow she will put the initial amount and add $3 another . Each day she will save $3 more than the day before, as shown in the table below:

Let f(d) represent the number of dollars Heather puts away on day d. What does f(10) = 33 mean?

1

The expression represents the number of people living in Salem at time t, in years. Which parts of the expression correspond to the initial number of people, the daily rate of growth, and the number of people when t = 1?

Drag the correct expression into the corresponding box.
Not all the parts will be used.

0.08
t
8000
8000(1.08)
1.08

The initial number of people in Salem.
The rate of growth per year.
The number of people when t = 1.

A scientist began a study with a sample of 1,500 bacteria. He noticed that the number of bacteria in the sample after t days can be modeled by the equation P=1,500*5t. In this equation, what does 5t represent?

Determine whether the table represents an exponential growth function, an exponential decay function or neither.

Which statement(s) can be interpreted from the equation for an automobile cost, C(t)=28,000(0.73)t, where C(t) represents the cost and t represents the time in years?Select all correct statements.

You deposit $300 in an investment account that earns 9% compound interest. Write a function that represents the total balance of the account after t years.

The first two terms of a sequence are a1=4 and a2=-2. Let a3 be the third term when the sequence is arithmetic and let b3 be the third term when the sequence is geometric. Find a3+b3.

Simplify the expression. Write your answer using only positive exponents.

Simplify the expression. Write your answer using only positive exponents.

Which statement(s) can be interpreted from the equation for an automobile cost, C(t)=28,000(0.73)t, where C(t) represents the cost and t represents the time in years?

Select all correct statements.