Equations
Situations
Graphs
Tables
100
what is the formula for exponential functions?
A)y=mx+b
B)b/2a
C)change of y/change of x
D) y=abx
D) y=abx
100
Which two of these are NOT an exponential word problem?
A) if you have a starting value of 4 and it triples what is the equation?
B) A canoe rental service charges 20$ transportation fee plus 30$ an hour to rent a canoe write an equation
C) find the vertex 2x+4x^2+8
D)If i buy a house for 100,000 dollars and the price increases by 40%
B and C
100
the "a" in y=ab^x acts as the y-intercept on the graph
Yes or no
yes because the a acts as the starting value ot the y intercept in the equation
100
How can you tell a table represents an exponential function?
A)you can tell when the y starts with a fraction
B) you can tell when the y's add up by a number
C)you can tell when the y's multiply by a number
D) all of the above
C) you can tell when the y's multiply by a number
200
the a in y=ab^x is the starting value
True or False
True
200
which word helps you find if the percent is going down in the equation
A)increases
B) decay
C) growth
D) rise
B)decay
200
Based on the graph below, what is the starting amount or "a-value" for the exponential function?
a=3
200
Which one is an exponential function
Function A)
x:0,1,2 ,3
y:2,4,6,8
Function B)
x:0,1,2,3
y:3,9,27,81
function B
300
If you have a starting value of 5 and it doubles what is the equation?
y=5(2)x
300
If Megan's math grade increases by 10% each week, what is her multiplier?
b= 1.1
(100%+10% = 110%=1.1)
300
Based on the graph below, will b>1 or 0<b<1? How do you know?
0<b<1, it's a decreasing graph
300
What is equation for the table
X:0, 1, 2, 3
y: 1/3, 1, 3 ,9
y=1/3 (3)x
400
if Sophia buys a motorcycle for 600 dollars and the price depreciates by 50% each year, what's the equation?
y=600(0.5)x
400
If Ingrid's math score decreases by 10% each week, what is her multiplier?
0.9
(100%-10%=90%=0.9)
400
The graph of an exponential function has what type of asymptote, and where is that asymptote?
A horizontal asymptote on the x-axis (y=0)
400
Write a situation that matches this table:
Answers vary: Must have a starting amount of 1 and the infections are doubling.
500
if Sara bought a car for 5,000 dollars and the price increases by 10 percent each year, what is the equation?
y=5,000(1.1)x
500
Write a situation that would match this equation y=9000(1.02)x
Answers will vary: The starting amount must be 9000 and it must be increasing by 2%
500
Write an equation for the graph below:
y=2(4)x
500
Create a table for the situation:
Anna starts with 270 stickers. Her sister uses 1/3 of them every day. How many stickers does she have left 3 days later?
x: 0, 1, 2, 3
y: 270, 180, 120, 80