Exponential Growth

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

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

A stamp gets more expensive each year.  It increases in value by 60 % each year.  What is the growth FACTOR?

• .6
• 1.06
• 1.6
• .4

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%.  What is the growth factor?

• .96
• 1.4
• 1.04
• $3000

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

Is this exponential growth or decay?

• Growth
• Decay
• Linear

What does the a in y=a(1+r)^x  represent?

• Time
• Rate
• Slope
• Initial Amount