Exponential Growth and Decay
FOIL
Factoring Practice
Finding the zeros
Other
100
A phone battery loses 15% each hour. If it starts at 100%, how much is left after 5 hours?
44.37%
(or equivalent)
100
FOIL:
(x+4)(x+6)
x2+10x+24
100
Factor the following equation:
x2-5x+6
(x-2)(x-3)
100
Use the quadratic formula to solve:
2x2+3x-5=0
x=1, x=-2.5
100
A company that manufactures soaps uses the function below to estimate their profits from selling.
P(x) = -2x2+60x-300
At what price of soap would the company make the most amount of money?
$15
200
An investment of $2,000 grows at a rate of 10% annually. What is the value after 10 years?
$5187.48
200
FOIL:
(x-3)(x+7)
x2+4x-21
200
Factor the following equation:
x2+7x+10
(x+2)(x+5)
200
Use the quadratic formula to solve:
x2-4x-5=0
x=5, x= -1
200
A company that manufactures soaps uses the function below to estimate their profits from selling.
P(x) = -2x2+60x-300
What the annual profit be if the soaps were all sold at $10?
$100
$100,000
300
Write an exponential decay equation to represent a a $600 laptop losing 10% of its value each year.
f(x)=600(.9)x
300
FOIL:
(x-6)(x-4)
x2-10x+24
300
Factor the following equation:
x2-7x+12
(x-3)(x-4)
300
Use the quadratic formula to solve:
x2+2x-15=0
x=-5, x=3
300
Lena is building a flower bed that is shaped like a rectangle and measures 8 feet bu 10 feet. She wants to create a path all the way around this flower bed that is x feet wide on each side.
Write a function to represent the total area A(x) of the slower bed plus the surrounding path?
a(x) = 4x2+36x+80
400
A population of 1,000 bacteria doubles every 2 hours. What would the population be after 8 hours?
16,000
400
FOIL:
(2x+2)(x-5)
2x2-8x-10
400
Factor the following equation:
x2-9x+20
(x-4)(x-5)
400
Use the quadratic formula to solve:
5x2-6x-2=0
x= 4.24, x= -0.24
400
What axis is repensented by domain?
x- axis
500
A school believe their enrollment will increase exponentially by 10% every year due to the surrounding neighborhood expanding in houses. This school says that their current enrollment numbers are 500 students. What is the expected amount of students after 6 years?
885
(885.78)
500
FOIL:
(3x-4)(x+3)
3x2+5x-12
500
Factor the following equation:
2x2+5x+3
(2x+3)(x+1)
500
A toy rocket is launched from a platform 11 feet off the ground. Its height in feet after t seconds is modeled by the equation:
h(t) = -16t2+24t+11
How long does it take the rocket to hit the ground, to the nearest hundredth of a second?
1.87 seconds
500
What axis is represented by range?
y axis