If the constant factor 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 constant factor of 2?
y=9*2x
The y-intercept is 10, the slope is 3.
Linear
y = 5(3)x ?
3
If the y-intercept on the graph is 3 and the constant 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 constant factor 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 their doubles. Is this exponential or linear?
Exponential
What is the initial value in the equation
y= 5x
1
What is the constant multiplier of this sequence?
256, 64, 16, 4, 1, ...
1/4
..., ...., 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
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 that the y-intercept is 5 and the constant 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 constant factor 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
Is this situation linear or exponential?
Bonus: 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 constant 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 constant multiplier?
1/3