Unit 5 Study Guide

Simplify. Your anaswer should contain only positive exponents.

Sketch the graph of the following function:

Find a bank account balance if the account starts with $200, has an annual interest rate of 5%, and the money is left in the account for 15 years.

A computer valued at $7500 depreciates at the rate of 15.3% per year. How much will the computer cost after four years? Round to the nearest hundreth.

Write the explicit formula for the following geomertic sequence.

Tell whether each representation is Linear or Exponential.
You will drag each table, graph and verbal description to the category it belongs in.

A car decreases in value by 8% per year.
A jogger runs 5 miles per hour

Linear
Exponential

Name two differences between linear and exponential functions.

Name two differences between arithmetic and geometric sequences.

When Sara was born, her parents invested $5,000 into an annuity with a consistent 5% annual rate
of return and never touched the account again. Sara is now in high school and wants to write a
function to model the amount of money in her annuity account over time to help her determine the
amount of money she will have in the account when she turns 18.
Is this an example of a linear or exponential function? How do you know?

When Sara was born, her parents invested $5,000 into an annuity with a consistent 5% annual rate
of return and never touched the account again. Sara is now in high school and wants to write a
function to model the amount of money in her annuity account over time to help her determine the
amount of money she will have in the account when she turns 18.
Which function correctly represents the situation?

When Sara was born, her parents invested $5,000 into an annuity with a consistent 5% annual rate
of return and never touched the account again. Sara is now in high school and wants to write a
function to model the amount of money in her annuity account over time to help her determine the
amount of money she will have in the account when she turns 18.
How much money would be in Sara's account when she turns 18? Show your work. Round to the nearest hundreth.

A ball is dropped from a height of 500 meters. On the first bounce it was 400 meters high, on the second bounce it was 200 meters high, and on the 3rd bounce it was 100 meters high. Write a rule to represent the height of the ball after each bounce.

Describe the transformation from f(x) to g(x):

Annual sales for a company are $125,000 and are increasing at a rate of 8% per year.
A. What is the rate of growth in decimal form?

Annual sales for a company are $125,000 and are increasing at a rate of 8% per year.
B. What is the initial amount?

Annual sales for a company are $125,000 and are increasing at a rate of 8% per year.
C. Write the exponential function that models this situation.

Annual sales for a company are $125,000 and are increasing at a rate of 8% per year.
D. What will this company's annual sales after 5 years? Round to the nearest hundreth.

The graph has solutions with positive values only for:

The population of a certain animal species decreases at a rate of 2.5%. If there are 400 of this animal in the wild, using an exponential function, predict approximately how many there will be in 4 years.

Simplify. Your anaswer should contain only positive exponents.

Simplify. Your anaswer should contain only positive exponents.

Simplify. Your anaswer should contain only positive exponents.

Simplify. Your anaswer should contain only positive exponents.

Simplify. Your anaswer should contain only positive exponents.

Simplify. Your anaswer should contain only positive exponents.

Simplify. Your anaswer should contain only positive exponents.

Simplify. Your anaswer should contain only positive exponents.

Simplify. Your anaswer should contain only positive exponents.

Simplify. Your anaswer should contain only positive exponents.

Simplify. Your anaswer should contain only positive exponents.

Simplify. Your anaswer should contain only positive exponents.

Sketch the graph of the following function:

Sketch the graph of the following function:

Find a bank account balance if the account starts with $200, has an annual interest rate of 5%, and the money is left in the account for 15 years.

A computer valued at $7500 depreciates at the rate of 15.3% per year. How much will the computer cost after four years? Round to the nearest hundreth.

Write the explicit formula for the following geomertic sequence.

Tell whether each representation is Linear or Exponential.You will drag each table, graph and verbal description to the category it belongs in.

Name two differences between linear and exponential functions.

Name two differences between arithmetic and geometric sequences.

A ball is dropped from a height of 500 meters. On the first bounce it was 400 meters high, on the second bounce it was 200 meters high, and on the 3rd bounce it was 100 meters high. Write a rule to represent the height of the ball after each bounce.

Describe the transformation from f(x) to g(x):

Annual sales for a company are $125,000 and are increasing at a rate of 8% per year. A. What is the rate of growth in decimal form?

Annual sales for a company are $125,000 and are increasing at a rate of 8% per year. B. What is the initial amount?

Annual sales for a company are $125,000 and are increasing at a rate of 8% per year. C. Write the exponential function that models this situation.

Annual sales for a company are $125,000 and are increasing at a rate of 8% per year. D. What will this company's annual sales after 5 years? Round to the nearest hundreth.

The graph has solutions with positive values only for:

The population of a certain animal species decreases at a rate of 2.5%. If there are 400 of this animal in the wild, using an exponential function, predict approximately how many there will be in 4 years.

Tell whether each representation is Linear or Exponential.
You will drag each table, graph and verbal description to the category it belongs in.

Annual sales for a company are $125,000 and are increasing at a rate of 8% per year.
A. What is the rate of growth in decimal form?

Annual sales for a company are $125,000 and are increasing at a rate of 8% per year.
B. What is the initial amount?

Annual sales for a company are $125,000 and are increasing at a rate of 8% per year.
C. Write the exponential function that models this situation.

Annual sales for a company are $125,000 and are increasing at a rate of 8% per year.
D. What will this company's annual sales after 5 years? Round to the nearest hundreth.