Exponential Functions Y-Intercept and Rate of Change

Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function for the scenario would be?

• 9600

• 12,800

• 200

• 8000

What is the y -intercept of  y=3(4)^x?

• 1

• 0

• 4

• 3

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(0.35)^x

• y = 35(1.15)^x

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

• (.27)^x
• .27
• 13
• 3.51

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

• Exponential Growth

• Exponential Decay

• Linear

• None

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

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

Which equation is represented by the table?

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(1 - .08)^x

• y=15,000(0.08)^x