Linear Functions
Exponential Functions
Linear or Exponential?
Random Review
100
What is the equation in slope-intercept form for a linear function? Define the parts of the equation.
What is...
y = mx +b ; where m=the slope and
b=the y-intercept, or the initial value.
100
What do the letters a and b represent in this equation?
y=abx
What is...
a is the initial value of the function (the y-intercept) and b is the constant growth/decay factor (common ratio).
100
Linear or exponential? Write the equation
At the start of a carnival, you have 70 ride tickets. Each time you ride the roller coaster, you have to pay 6 tickets.
What is...
Linear.
y=-6x+70
100
Solve the following equation:
2x-5=4x+7
x=-6
200
Write the following equation in slope-intercept form:
y=-2(x-3)+5
y=-2x+11
200
The height of a bouncing ball (in feet) after x bounces can be modeled with the function:
y=12(.75)x
What is the height of the ball after the first bounce?
What is...
9 feet.
200
Linear or exponential? Write the equation.
“A bank account starts with $10. Every month the amount in the account is tripled.”
What is...
Exponential
y=10(3)x
200
Is the following scenario discrete or continuous?
The number of times a math teacher hears the phrase "Six-Seven" in one day.
Discrete
300
Write a linear function that shows the relationship between cost and number of months:
Orland buys a gym membership that costs $40 upfront and then $20 each month after.
What is...
y = 20x + 40
300
Write the equation for a function that starts with 5 and doubles every day.
What is...
y=5(2)x
300
Linear or Exponential? Write the equation.
In 1990, 600,000 people lived in Washington D.C. The population is increasing about 2% per year.
What is...
Exponential
y=600,000(1.02)x
300
Solve the following inequality:
2(3x+4)<12+10x
x>-1
400
Write a function that shows the relationship between the number of rides she goes on and the number of tickets she has:
Maya goes to the county fair. She has 57 tickets when she gets there and each ride costs 3 tickets.
What is...
y = -3x + 57
400
What would the equation for the scenario below be?
Brandon has a bank account with $20,000 in it. Each year it earns 5% in interest.
What is...
y = 20,000(1.05)x
400
Linear or exponential? Write and equation and solve it.
A roller skating rink charges $15 to rent skates and $8 per hour to skate. How much money did you spend if you skate for 4 hours?
What is...
Linear. y=15+8x
$47
400
Write the explicit formula for the following sequence:
200 , 50 , 12.5 , ...
f(n)=800(1/4)x
500
Find the average rate of change in the given table.
What is...
Average Rate of Change = $8 per car
500
I buy a car for $20,000, but the value of car depreciates by 15% per year. Write the equation to calculate the value of the car after 5 years.
What is...
y=120000(.85)5
500
Linear or exponential? Write an equation and solve it
Suppose you accidentally open a canister of plutonium in your living room and 160 units of radiation leaks out. If every year, there is half as much radiation as there was the year before how many units of radiation will there be after 4 years?
What is...
Exponential. y=160(1/2)x
10 units
500
Given f(x)=-3x+5 , find x if f(x)=30
x=-8.33333