STAAR Review Exponential Functions

An exponential function is graphed on the grid.

Which function is best represented by the graph?

Tags

AI.9.9.C

• 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

AI.9.9.B

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

A conservation agency tracks the sea turtle population by counting the number of nesting sites where the turtles lay their eggs. The table shows the numbers of nesting sites for several years since 2001. The data can be modeled by an exponential function.

Which function best models the data?

Tags

AI.9.9.E

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

What is the equation that models this graph?

• y = 2(3)^x

• y = 3(2)^x

• y = 3(½)^x

• y =½(3)^x

Is the pictured graph growth, decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(1.08)^x

• y=15,000(0.92)^x

• y=15,000(0.08)^x