Use y = 250(1.2)^t What is the initial value?
What is 250
Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.
What is f(x) = 422,000(1.12)^x
Bonus- If this was continuous growth, what would the equation be?
How do you write an equation of an exponential function by looking at a table?
the y values shows a multiplying pattern
y = ab^x where a is from (0, a) and the b value is what the y values multiply by every time the x value increases by one.
Use y = 250(1.2)^t What is the growth rate? (Expressed as a percent)
What is 20%
The Hippityhoppity bunny decided to have a family reunion at the Magic Forest every 5 years. During the second reunion the family discovered that the number of family members was 154 and was growing at an annual rate of 3.2%. Write an equation to model the growth of the bunny family.
What is f(x) = 154(1.032)^x
Bonus- if this were continuous growth what would the equation be?
The fish in The Magic Forest Lake were declining at an annual rate at 1.5%. Their current number is estimated at 2500. Write an equation to model the decreasing number of fish.
What is y = 2500(.985)^x
y = 9.8(1.35)^t What is the growth rate? (Expressed as a percent)
What is 35%
The squid in The Magic Forest Lake were declining at an annual rate at 5.5%. Their current number is estimated at 50,000. Write an equation to predict the number of squid in the lake in 10 years.
What is f(10) = 50000(.945)^10 and 28,398 squid