Modeling with exponential functions

The current population of Morristown is  $19,000$ and is growing at 1.75% annually. Which function models this?

•  $19,000\left(1.75\right)^t$  

•  $19,000\left(1+1.75\right)^t$  

•  $19,000\left(1+0.0175\right)^t$  

•  $19,000\left(1+0.000175\right)^t$  

Tags

CCSS.HSF.LE.A.2

In 1349, the Black Plague killed about one hundred million people. Every year after that, the number of fatalities due to the Black Plague decreased by  $27\%$ . Which function models this? 

•  $100,000,000\left(28\right)^t$  

•  $100,000,000\left(1.27\right)^t$  

•  $100,000,000\left(0.73\right)^t$  

•  $100,000,000\left(0.66\right)^t$  

Tags

CCSS.HSF.LE.A.2

The temperature in a freezing car begins at 10o F. Every 10 minutes, the temperature increases by 40%. What's the temperature (in Fahrenheit)  of the car 30 minutes after it has been started?

•  $10\left(1.4\right)^3$  

•  $10\left(1.4\right)^{30}$  

•  $10\left(0.6\right)^3$  

•  $10\left(41\right)^{30}$  

Tags

CCSS.HSF-LE.A.1C

Mr. Savage has $8,000,000 in his bank account, which accrues 1.932% interest every 3 months. How much money will be in his bank account after 9 years?

•  $8,000,000\left(2.932\right)^{36}$  

•  $8,000,000\left(1.932\right)^9$  

•  $8,000,000\left(1.01932\right)^9$  

•  $8,000,000\left(1.01932\right)^{36}$  

Tags

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

You open a bank account with $1. The bank gives you four plans to choose from. Which plan will earn you the most money by the end of the year?

• Earn 100% interest 1 time per year

• Earn 50% interest 2 times per year

• Earn 25% interest 4 times per year

• Earn 5% interest 20 times per year

• All plans have the same effect

Tags

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.B.4

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?

• f(x) = 417(3.75)^x
• f(x) = 417(0.0375)^x
• f(x) = 417(1.0375)^x
• f(x) = 417(1.375)^x

Tags

CCSS.HSF.LE.A.2

A child asks her dad for an allowance that starts with a penny and then doubles every day for a month. Which function can be used to model the amount of money, A, the child will receive each day, x?

• A(x) = 2(0.01)^x
• A(x) = 0.01(2)^x
• A(x) = 0.01(1 - 2)^x
• A(x) = 2(1.01)^x

Tags

CCSS.HSF.LE.A.2

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766
• 9006
• 9765
• 5433

Tags

CCSS.HSF.BF.A.2

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

A website allows its users to submit and edit content in an online encyclopedia. The graph shows the number of articles a(t) in the encyclopedia months after the website goes live.

How many articles were in the encyclopedia when it went live?

• 0

• 30

• 60

• 180

Tags

CCSS.HSF.LE.B.5