Exponential Function and Population Growth

• The initial balance of the account decreases at a rate of 97.5% each year.

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

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

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

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF.LE.A.2

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?

The initial Population was 48,000

After the first year, the population was 50, 400

• A. The y-intercept is (0, 16).

• B. The graph is decreasing for all values of x.

• C. The x-intercept is (0.5, 0).

• D. The graph has a horizontal asymptote at y = 0.

Tags

CCSS.HSF-IF.C.7E

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? Select TWO correct answers.

• The domain is the set of all real numbers.

• 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 1 and less than or equal to 8.

• 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.

Tags

CCSS.HSF-IF.C.7E

• A) The domain is all real numbers greater than or equal to 4.

• B) The range is all real numbers less than 0.

• C) The domain is all real numbers less than or equal to 0.

• D) The range is all real numbers.

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?

Tags

CCSS.HSF.LE.A.2

This year the number of students who participated in sports was 317. Each year the number of students who participate in sports increases by 4%. Which function can be used to model the number of students participating in sports after x years?

• f(x) = 4x + 317

• f(x) = 1.04x + 317

Tags

CCSS.HSF.LE.A.2

• 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

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

Tags

CCSS.HSF.LE.B.5

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7E