Questions on Exponential Functions

Use the graph to answer the following questions.

Identify the growth factor from the scenario.

If the pattern is consistent, how many people

were sick on day 0?

Write an equation to represent the scenario.

How many people will be infected on day 12?

The population of the United States is approximately 323 million. How many days would it take for the epidemic to infect the entire population of the United States?

The table lists the average costs for attending The University of Texas at Austin for one year. On Laurel’s sixth birthday her parents invested money for college into a savings account that earned an interest of 5.25% compounded monthly. On her 18th birthday she had the exact amount of money needed to cover tuition, fees, room and board for her first year of college. What was Laurel’s parent’s initial investment? Round your answer to the nearest cent.

The table shows the appreciation of an antique desk.

a. Write an equation for the table.

b. Use your equation to predict the value of the antique desk in 50 years.

Tags

CCSS.HSF-BF.A.1A

The population of bacteria in a petri dish increases according to the model p=550(2.7).008t, where t is the number of hours and t = 0 corresponds to 1:00 pm. Identify and interpret the parameters of the scenario. Estimate the number of bacteria in the dish at 5:00 pm. Round your answer to the nearest whole number.

Domain:

Range:

Asymptote:

y-intercept:

Rate:

Estimation:

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Tags

CCSS.HSF.LE.A.2

The function shown is a(n)​ (a)   function.

This function shows ​ (b)   because the graph is decreasing.

The horizontal asymptote is at ​ (c)  

• exponential

• decay

• y=-1

• linear

• x=-1

• growth

Tags

CCSS.HSF-IF.C.7E

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?

Tags

CCSS.HSF.LE.A.2

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?

Tags

CCSS.HSF.LE.A.2

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

Tags

CCSS.HSF.LE.A.2

• 800

• 0.95

• 2000

• decay

• growth

• 5%

• 95%

Tags

CCSS.HSF-IF.C.8B