Exploring Exponential Growth and Decay Functions

What is the result of increasing the number 75 by 35%?

• 110

• 105

• 100

• 101.25

How do you calculate the new amount after a percentage increase?

• Original amount * (1 + percentage increase)

• Original amount + percentage increase

• Original amount / (1 + percentage increase)

• Original amount - percentage increase

How do you calculate the new amount after a 14% decrease from 82?

• 70.52

• 71.00

• 72.50

• 69.95

What is the growth rate if the base is 1.9?

• 95%

• 85%

• 80%

• 90%

If a bacteria culture starts with 340 and grows 8% per hour, what is the formula for the number of bacteria after T hours?

• y = 340 * 1.08^T

• y = 340 + 1.08^T

• y = 340 * 1.08T

• y = 340 / 1.08^T

What does a base number less than one in a decay formula indicate?

• The quantity remains constant

• The quantity doubles

• The quantity is increasing

• The quantity is decreasing

What is the decay rate if the base number is 0.22?

• 78%

• 18%

• 80%

• 22%

Using the decay model y = 140 * 0.9^T, how many elk are expected after one year?

• 130

• 126

• 150

• 140

If a bacteria culture decays at a rate of 6% per hour, how many bacteria will remain after 9 hours starting from 80?

• 60

• 55

• 50

• 46

What is the expected number of bacteria after 4 hours if the culture grows at a rate of 9% per hour starting from 200?

• 282

• 290

• 300

• 310