Exponential Growth and Decay Factor vs Rate

Which equation matches the table?

• y = 100(1/2)^x

• y = .5^x

• y = -50x + 100

• y = (1/2)^x+100

This function has a pattern of multiplying or dividing the same number from one y-value to the next y-value as the x-value increases by one. 

• Linear

• Exponential

• Neither

This function does not change by the same rate.

• Linear

• Exponential

• Neither

The graph of this function is a curve going up really fast or down really fast. 

• Linear 

• Exponential

• Neither

Which of the following exponential functions represents an initial value of 1780 and a growth of 18% for x years?​

Describe the growth rate of the function y = 2,925,000(0.11)^x?

• Increase 11%

• Decrease 11%

• Decrease 89%

• Decrease 0.11%

The amount of ants in a colony, f, that is decaying can be modeled by                      f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%

• 13%

• 800%

• 8.7%

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay rate?

• ^0.08

• ^1.08

• 0.92

• 8%

Give the rate of growth:
y = 5(1.27)^x

• 127%

• 27%

• 5