True or False/Yes or No
True or False:
The a in y=ab^x is the starting value
True
Which word helps you determine whether an amount is getting smaller?
A) increases
B) decay
C) growth
D) rise
B) decay
Which two options below do NOT describe a problem that could be solved using an exponential function?
A) You have a starting value of 4 and it triples. Write the equation.
B) A canoe rental service charges a $20 transportation fee plus $30 an hour to rent a canoe. Write an equation.
C) Find the vertex 2x+4x^2+8
D) I buy a house for 100,000 dollars and the price increases by 40% of the current value. Write an equation.
B and C
If you deposit $6500 into an account paying 8% annual interest compounded monthly, how much money will be in the account after 7 years?
$11358.24
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
False
Which definition is correct for rate of growth?
A) as the x value increases the y value decreases
B) as the x value increases the y value increases
B) as the x value increases the y value increases
A house is worth 9,000 dollars and the price increases by 20% in one year. What is the equation that best represents this situation?
A) 9,000(1 - 0.002)
B) 9,000(1 + 0.02)
C) 9,000(1.02)
D) 9,000(1 + 0.2)
D) 9,000(1 + 0.2 )
If you deposit $4000 into an account paying 6% annual interest compounded quarterly, how much money will be in the account after 5 years?
$5387.42
If the starting value is 6 and it quadruples what is the equation?
A) 4(6)x
B) 6(3)x
C) 2(6)x
D) none of the above
D) none of the above; example answer: 6(4)x
True or false:
The line on an exponential graph is called a parabola
False: parabolas are for quadratic functions
What does the x represent in y=abx?
A) rate of growth and decay
B) starting value/y intercept
C) the exponent
C) the exponent
Sara bought a car for 5,000 dollars and the price increases by 10 percent after a year due to popular demand. Which equation represents this situation?
A) 5,000(1 - 0.001)
B) 5,000(1 + 0.2)
C) 5,000(1 + 0.1)
D) 5,000(1 + 0.01)
C) 5,000(1 + 0.1)
If $8000 dollars is deposited to an account with an interest rate of 1.18% compounded continuousy, what is its value after 10 years.
$9001.95
How can you tell a table represents an exponential function? (Choose ALL answers that apply.)
A) the ratio of outputs is a constant
B) the outputs grow by adding the same number each time
C) the outputs are multiplied by the same number each time
D) all of the above
A) the ratio of outputs is a constant
C) the outputs are multiplied by the same number each time
Yes or no:
The a in y=ab^x acts as the y-intercept
Yes, because a is the starting value. (Try plugging in 0 for x!)
What does b represent in y=ab^x?
A) starting value
B) the exponent
C) the rate of growth/decay
C) rate of growth and decay
Select the equation that represents the scenario described below.
Sophia buys a motorcycle for 600 dollars and the price depreciates by 50% after one year.
A) 600(.5) = 300
B) 600(1.5) = 900
C) 600(0.05) = 30
A) 600(.5) = 300
We are going to put $2500 into an account that earns interest at a rate of 12%. If we want to have $4000 in the account, what is the minimum amount of whole years we should keep the money in the account if we compound interest 6 times a year.
4 years.
What is the general formula for exponential functions?
A) y = mx + b
B) b/2a
C) (change of y)/(change of x)
D) y = abx
D) y=abx