Which statement about the graph of $$y = 8(0.25)^x$$ true ?

The coordinates of the y-intercept are (0, 8).

The coordinates of the x-intercept are (0.25, 0).

The equation of the asymptote is x = 0.

The graph includes the point (2, 1).

A student used f(x) = $$5.00(1.012)^x$$ to show how the balance in a savings account will increase over time. What does the 5.00 represent?

The starting balance of the savings account

The interest the savings account earned for the first year

The annual interest rate of the savings account

The number of years the savings account has earned interest

An investor deposited money into an investment account that earns interest compounded annually. The function shown models the amount of money in the account in dollars after t years. $$A(t) = 1,550(1.02)^t$$ Which statement best interprets one value in the function?

The initial deposit in the investment account was $1,550.

The initial deposit in the investment account was $1,581.

The amount of money in the investment account increases 102% each year.

The amount of money in the investment account decreases 2% each year.

A bank account earning annual compound interest was opened, and no additional deposits or withdrawals were made after the initial deposit. The balance in the account after x years can be modeled by $$b(x) = 850(1.025)^x$$ . Which statement is the best interpretation of one of the values in this function?

The balance in the account increases at a rate of 2.5% each year.

The initia l balance of the account decreases at a rate of 97.5% each year.

The initial balance of the account was $1,025.

The balance in the account at the end of one year is $850.

Scientists are studying a bacteria sample. The function $$f(x) = 245(1.12)^x$$ gives the number of bacteria in the sample at the end of x days. Which statement is the best interpretation of one of the values in this function?

C. The number of bacteria increases at a rate of 12% each day.

A. The initial number of bacteria is 12.

B. The initial number of bacteria decreases at a rate of 88% each day.

D. The number of bacteria at the end of one day is 245.

SELECT 2: A part of an exponential function is graphed on the grid. Which statements are true about the domain and range of the part of the function shown?

The range is the set of all real numbers greater than or equal to 1 and less than or equal to 8.

The domain is the set of all real numbers greater than or equal to 2 and less than or equal to 5.

The range is the set of all real numbers greater than or equal to 2 and less than or equal to 5.

The domain is the set of all real numbers greater than or equal to 1 and less than or equal to 8.

The domain is the set of all real numbers.

The function $$w(t)=270(1.029)^t$$ can be used to estimate the number of whales in the North Atlantic Ocean at the end of t years. What does $$1.029$$ represent in this function?

D. The growth factor of the number of whales in the North Atlantic Ocean

A. The initial number of whales in the North Atlantic Ocean

B. The decay factor of the number of whales in the North Atlantic Ocean

C. The number of whales in the North Atlantic Ocean at the end of the first year

An insect population after x months can be modeled by the function $$g(x) = 18(1.3)^x$$ . Which statement is the best interpretation of one of the values in this function?

The insect population increased at a rate of 30% each month.

The insect population increased by 13 insects each month.

The insect population decreased by 13 insects each month.

The insect population decreased at a rate of 30% each month.

The graph of an exponential function is shown on the grid. Based on the graph, which statement about the function is true ?

The range is the set of all real numbers greater than 0.

The range is the set of all real numbers less than 0.

The domain is the set of all real numbers greater than –4.

The domain is the set of all real numbers less than –4.

Exponential Functions (Readiness Standards)

Authored by Griselda Palacios

Mathematics

9th Grade

CCSS covered

Used 1+ times

Exponential Functions (Readiness Standards)

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The table represents some points on the graph of an exponential function. Which function represents the relation shown in the table?

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The table shows the value in dollars of a motorcycle at the end of x years. Which exponential function models this situation?

Tags

CCSS.HSF.LE.A.2

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Researchers studied the population of a town over time and modeled the data using an exponential function. If the population of the town continues to grow at this rate each year, which function can be used to model the population x years after the researchers began their study?

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

An exponential function is graphed on the grid. Which function is best represented by the graph?

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The table represents some points on the graph of an exponential function. Which function represents this relationship?

Tags

CCSS.HSF.LE.A.2

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Exponential Functions (Readiness Standards)

The table represents some points on the graph of an exponential function. Which function represents the relation shown in the table?

The table shows the value in dollars of a motorcycle at the end of x years. Which exponential function models this situation?

Researchers studied the population of a town over time and modeled the data using an exponential function. If the population of the town continues to grow at this rate each year, which function can be used to model the population x years after the researchers began their study?

There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?

An exponential function is graphed on the grid. Which function is best represented by the graph?

The table represents some points on the graph of an exponential function. Which function represents this relationship?

The graph shows the number of game consoles sold in millions since 2009. Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

The amount of fertilizer in a landscaping company’s warehouse decreases at a rate of 3% per week. The amount of fertilizer in the warehouse was originally 78,000 cubic yards. Which function models the amount of fertilizer in cubic yards left after w weeks?

The table contains some points on the graph of an exponential function. Based on the table, which function represents the same relationship?

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