Write Exponential Function
Evaluate Exponential Function
Interpret exponential features
100
The exponential function that represents this table
What is
y=5(2)^x
100
Given the exponential function below, evaluate f(4)
f(x)=600(2/3)^x
What is
f(4)=118.5
100
The milligrams of Tylenol in a patient's body is given by the equation
m(t)=500(4/5)^t
where t is the number of hours since the patient took the medicine. If m(3)=256, what does it mean in this scenario?
After 3 hours, 256 mg of Tylenol remains in the patient's body.
200
Rebecca has 500 followers on Tik-Tok and expects her follower count to triple each year. Write a function where f represents the number of followers and t represents the number of years in function notation.
What is
f(t)=500(3)^t
200
The number of infected bean plants, b, is a function of the number of days, d, since the infestation was measured. This situation is modeled by
b(d)=200(4/3)^d
What is b(7)=1498
1498 bean plants
200
The number of infected bean plants, b, is a function of the number of days, d, since the infestation was measured. How many bean plants will be infected after a week if the situation is modeled by
b(d)=200(4/3)^d
What does the value 200 tell you about the situation? What does the value 4/3 tell you about the situation?
200 represents the initial number of infected bean plants
4/3 represents the growth rate of the spread of the infection
300
Johnny bought a new car. He knows the car depreciates by a factor of 1/5 every year. If the car cost him $25000, what is the equation represented by this situation? Let t be the number of years and v be the value of his car.
What is
v=25000(4/5)^t
300
The milligrams of Tylenol in a patient's body is given by the equation
m(t)=500(4/5)^t
where t is the number of hours since the patient took the medicine. How much Tylenol will remain in the patient's body after 2 hours?
What is m(2)=320
320 mg
300
The milligrams of Tylenol in a patient's body is given by the equation
m(t)=500(4/5)^t
where t is the number of hours since the patient took the medicine.
What does 500 represent in the situation? What does 4/5 represent in the situation?
500 represents the initial amount of Tylenol the patient took
4/5 represents the amount of medicine that remains in the patient's body after each hour
400
Write an equation that shows the number of points p available in round n of the gameshow
What is
p=25(3)^n
400
Complete the table for values 0 to 4 if
f(x)=2(4)^x
400
v(5)=200
After 5 years, the investment is valued at $200