Finish the Pattern
If the rate/multiplier is 3, what would the next two values be?
1, 3, ... , .... ,
9, 27
What exponential equation can be written with an initial value of 9 and a multiplier of 2?
y=9*2x
The y-intercept is 10, the slope is 3.
Linear
What is the rate in the equation
y = 5(3)x ?
3
If the y-intercept on the graph is 3 and the multiplier is 4, what would the y-value be when x is 1?
12
Finish the pattern:
1, 5, 25, ....,
125
The y-intercept is 150 and the rate is 1/5. What is the equation?
y= 150 * (1/5)x
You put your money into a savings account. Each year you don't touch it, the amount in the account doubles. Is this exponential or linear?
Exponential
What is the starting value in the equation
y= 5x
1
What is the rate of this sequence?
256, 64, 16, 4, 1, ...
1/4
If the rate/multiplier is 2, what numbers would come before these?
..., ...., 8, 16, 32
2, 4
y = 2 (2)x
The basketball team is raising money through a bake sale. They already sold $100 worth of baked goods. They want to sell cupcakes at $5 each until they reach $400.
BONUS: For an extra 50 points, figure out how many cupcakes they would need to reach their goal.
Linear
They would need to sell 60 cupcakes.
Given the equation y = 2(2)x with x representing years, evaluate y after 3 years.
16
Write the equation that has an initial value of 1 and a constant multiplier of 6
y = 6x
If the rate/multiplier is 1/3, finish this pattern...
243, ..., ....,
81, 27
y = 1/3x + 10
The school is trying to raise $600 from the school play tonight. Student tickets cost $5 each, and adult tickets cost $10 each.
Is this situation linear or exponential?
Bonus: Your team will earn an extra 100 points if you can write the equation representing this situation.
Linear
5x+10y=600
Write the equation for a y-intercept of 5 and a multiplier is 3.
y = 5*3x
Can an exponential function have a y-intercept of zero?
No
Write the first 5 values of a sequence that has an initial value of 6, and a rate of 4.
6, 24, 96, 384, 1536
A zombie apocalypse just infected 50 people. Each person infects 4 new people each day. How many people will be infected by zombies after 5 days?
51,200 people
A grandmother gave her grandson $0.01 on his first birthday. She continued to double the amount she gave him every year after.
Is this situation linear or exponential?
Bonus (extra 100 points): How much money would the grandson receive on his 21st birthday?
Exponential
$20,971.52
A girl just received great news. She calls her parents and they each tell two more people. This pattern continues.
What is the initial value, and what is the rate/multiplier?
initial value = 1
multiplier = 2
If someone gave you an exponential function that they said was decreasing by 3 times the amount each time, how could you represent that amount as a multiplier?
1/3