Exponential Functions
if Sara bought a car for 5,000 dollars and the price increases by 10 percent what is the equation?
A)5,000(1-.001)
B)5,000(1+.2)
C)5,000(1+.1)
D)5,000(1+.01)
c)5,000(1+.1)
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
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
does the y repeat more than once on an exponential table?
yes or no
No the y doesn't not repeat more than once
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
the a in y=ab^x is the starting value
True or False
True
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
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
If you have a starting value of 5 and it doubles what is the equation?
A) 3(5)x
B)5(2)x
C)2(5)x
D)5(3)x
B)5(2)x
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
simplify the equation 400(1+.4)
A)480
B)600
C)560
D)440
C) 560
which function is multiplying by 3
Function A)
x:0,1,2,3
y:2,6,18,54
Function B)
x:0,1,2,3
y:1/3,1,3,9
C) all of the above
c) all of the above
If Aleen buys a motorcycle for 600 dollars and the price depreciates by 50% whats the equation an the answer
A)600(.5)=300
B)600(1.5) =900
C)600(0.05)=30
A)600(.5)=300
the line on an exponential graph is called a parabola
true or false
false because parabolas are for quadratic functions
the a in y=ab^x acts as the y-intercept
Yes or no
yes because the a acts as the starting value ot the y intercept in the equation
If the starting value is 6 and its 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 the answer is 6(4)x
How can you tell a table represents an exponential function? (There may be 2 answers)
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
A)you can tell when the y starts with a fraction
C)you can tell when the y's multiply by a number
which word helps you find if the percent is going down in the equation
A)increases
B) decay
C) growth
D) rise
B)decay
the house is worth 9,000 dollars and the price increases by 20% what is the equation
A) 9,000(1-.002)
B)9,000(1+.02)
C)9,000(1.02)
D)9,000(1+0.2)
D)9,000(1+0.2 )
What is equation for the table
X:0,1,2,3
y: 1/3,1,3,9
A)1/3(3)x
B)3(1/3)x
C) 3(1)x
A)1/3(3)x