Exponential Functions

What is the exponential equation?

A population of 800 beetles is increasing each month at a rate of 5%.

• y=800(1.05)^x

• y=800(.95)^x

• y=800(5)^x

• y=1.05(800)^x

Tags

CCSS.HSF.LE.A.2

What is the exponential equation?

Your new computer cost $1500 but it decreases in value by about 18% each year.

• y=1500(1.18)^x

• y=1500(.82)^x

• y=18(1500)^x

• y=1500(18)^x

Tags

CCSS.HSF.LE.A.2

What is the exponential equation?

Your bank balance starts with $100, it increases 4% every year for leaving the money in the account.

• y=100(.96)^x

• y=100(1.04)^x

• y=100(4)^x

• y=100(.4)^x

Tags

CCSS.HSF.LE.A.2

What is the exponential equation?

The amount of Tylenol in an adult's system decreases by 18% per hour. An adult took 500 mg of Tylenol for a headache.

• y=18(500)^x

• y=500(18)^x

• y=500(1.18)^x

• y=500(.82)^x

Tags

CCSS.HSF.LE.A.2

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1 +.35)^x
• y = 15(1- .35)^x
• y = 35(1.15)^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? Round your answer

• 9766
• 9006
• 9765
• 5433

Tags

CCSS.HSF.BF.A.2

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

Tags

CCSS.HSF.LE.B.5

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

Tags

CCSS.HSF.LE.B.5

The number of bacteria in a petri dish changes based on the function
 g(x) = 200(1.2)^x where g(x) represents the total bacteria after x number of months.  Which statement best describes the 200 in the function?

• The initial number of  bacteria.
• The number of bacteria grows by 200 each month.
• The 200 represents 20% in the problem.
• The rate of change.

Tags

CCSS.HSF.LE.B.5

The function g(x) = 27,500(0.935)^x represents the total value of a car, g(x), after x number of years.  Which statement best represents the rate of change of the function?

• The car increases in value by 93.5% each year.
• The value of the car decreases in value by 93.5% each year.
• The value of the car decreases by 6.5% each year.
• The car decreases in value by 65% each year.

Tags

CCSS.HSF.LE.B.5