Exponential Functions Quiz

Which of the following scenarios is best modeled by an exponential function?

• The total cost of a

  taxi ride that charges

  $3 per mile.

• The height of a

  ball thrown into the

  air, measured every

  second.

• The population of

  bacteria that doubles

  every hour.

• The amount of

  money in a savings

  account that earns

  $50 interest each

  year.

• x = 2

• x = 3

• x = 9

• x = 10

• 250
• 1.07
• 100
• 150
• 200
• 300
• 1
• 0.07

Tags

CCSS.HSF-IF.C.8B

Mathematical Equivalence

OFF

Tags

CCSS.HSF.LE.A.4

Match each real-world scenario to the exponential equation that best models it.

• A science experiment starting with 10 grams of a substance that triples every 2 hours.

• The value of a car, initially $20,000, depreciating by 12% per year.

• A population of 1,000 birds decreasing by 5% each year.

• An initial investment of $500 growing by 3.5% annually.

Tags

CCSS.HSF.LE.A.2

A new strain of bacteria is discovered. Initially, there are 50 bacteria cells. The number of bacteria doubles every hour. Write an exponential function to represent the number of bacteria b(t) after t hours.

Mathematical Equivalence

ON

Tags

CCSS.HSF.LE.A.2

• the value remaining after each year
• the total depreciation over t years
• the initial amount of the assest
• the rate of depreciation

Tags

CCSS.HSF.LE.B.5

You are given descriptions of two functions below.
Function 1: The number of subscribers to a streaming service increases by 500 subscribers each month. In January, there were 10,000 subscribers.
Function 2: The value of a cryptocurrency, initially $100, increases by 5% each week.

The first function is ​a(n) (a)   and the function is written as ​ (b)   , when m is the number of months since January. The second function is a(n)​ (c)   and the function is written as (d)   , when w is the number of weeks.

• linear
• exponential

• James did not make a mistake.

• James used the incorrect initial amount.

• James wrote an exponential growth function when he should have written an exponential decay function.

• James did not change the rate from percent form to decimal form correctly.

Tags

CCSS.HSF-IF.C.8B