Initial Amount
f(t) = 3(4)t
What is 3?
f(m) = 3m
What is the growth?
In the exponential function f(t)=100⋅(1.07)t, what is the growth rate?
What is growth?
A bank offers an interest rate of 4% per year. You deposit 1500 USD. After 1 year, your balance will be:
A(1)=1500⋅(1+____)1
What is 0.04?
f(y) = 0.05(2)t
what is 0.05?
f(x) = 4(1.2)x
Growth
A population is modeled by P(t)=5000⋅(0.92)t. What is the decay rate?
What is 8%?
A bacteria population increases by 5% per hour. Initially, there are 200 bacteria.After 3 hours, the population will be:
P(3)=200⋅(1+____)3
What is 0.05?
You invest $200 in an account that grows exponentially. The function is A(t)=200⋅(1.05)t . What is the initial amount?
What is $200?
f(x) = (0.98)x
Decay
If the growth rate is 12%, what is the base b in the exponential function?
What is 1.12?
A car loses 10% of its value each year. Initially, the car is worth 30,000 USD. After 2 years, its value will be:
V(2)=30000⋅(1−____)2
What is 0.10?
In the function f(x)=a⋅bx, this part represents the initial amount when x=0 ?
What is a?
A bacteria culture doubles every 3 hours. If the initial population is 500, and the function is P(t)=500⋅2t, what type of exponential change does this represent?
What is growth?
An investment decreases by 5% per year. Write the base b for the exponential function that models this situation.
What is 0.95?
A company's revenue increases by 5% every year. The initial revenue is 50,000 USD. After 4 years, the revenue will be: (Please write with sign?)
R(4)=50000⋅(1 ____)4
What is + 0.05?
If f(x)=a⋅bx passes through the point (0, 12), what is the initial amount?
What is 12?
An investment grows according to the function A(t)=1000⋅(0.95)t. Most people think investments grow, but what kind of change is this?
What is decay?
A value increases by 6% every year. What is the base of the exponential function?
What is 1.06?
A population decreases by 2% per year. Initially, the population is 1,000,000. After 5 years, the population will be:
P(5)=1000000⋅(1 ____)5
What is - 0.02?