Solve Exp. Equations
8-2v=(1/32)-v
v=0
An employee receives a 3% raise once per year. If the employee's initial salary is $67,700.00, what will the employee's salary be after 7 years?
$83, 262.46
y=5(1/2)x-2+2
V. Stretch by factor of 5, right 2, up 2
Describe what an asymptote is:
An invisible boundary line your graph approaches, but never touches
Is this an example of exponential growth?
3, 6, 9, 12, 15...
NO
9-n+2=1/81
n=4
A company promises to release a new smartphone model every month. Each model's battery life will be 6% longer than the previous model's. If the current model's battery life is 691.0 minutes, what will the latest model's battery life be 5 months from now?
924.7 min
y=-3(1/2)x+2-2
Reflection over x-axis, V. stretch by factor of 3, left 2, down 2
State the Domain/Range/intercepts/asymptote and end behavior:
y=5(2)x-2-2
D: all real #'s R: y>-2 y-int: (0, -0.75) x-int: (0.68,0) A: y=-2 EB: positive infinity on right, -2 on left
Give a list of data that shows exponential growth
Answers may vary
3-3m=32
m=-2/3
Rentals in a high rise apartment building get more expensive higher up, since the views get better. The ground floor (floor 0) rent is $1,230.00. The rent increases 2% per floor. What is the rent on the 9th floor?
$1,469.96
y=1/2(2)x-1+1
V. shrink by factor of 1/2, right 1, up 1
State the Domain/Range/intercepts/asymptote and end behavior:
y=-4(2)x-1+2
D: all real #'s R: y<2 y-int: (0, 0) x-int: (0,0) A: y=2 EB: negative infinity on right, 2 on left
Give a list of data that shows exponential decay
Answers may vary
4-3m(42m-2)=4-3m
m=1
A cup of hot coffee cools at a rate of 4% per minute and the coffee's current temp is 58.1 degrees C. In how many minutes will the coffee be 42.2 degrees C?
8min
y=2x+4-5
Left 4, down 5
State the Domain/Range/intercepts/asymptote and end behavior:
y=5(2)x-2+2
D: all real #'s R: y>2 y-int: (0, 3.25) x-int: N/A A: y=2 EB: positive infinity on right, 2 on left
What is the initial amount, the growth/decay factor and the percent rate of change?
y=25(0.6)t
IA: 25 DF: 0.6 PROC: 40%
(1/64)-x=(1/4)-3x
x= all real numbers
Lydia invests $3,050 in a savings account with a fixed annual interest rate of 7% compounded quarterly. How long will it take the account balance to reach $4,625.15?
6 years
y=2-x
Reflection over y-axis
State the Domain/Range/intercepts/asymptote and end behavior:
y=-2(1/2)x+2+1
D: all real #'s R: y<1 y-int: (0, 0.5) x-int: (-1,0) A: y=1 EB: negative infinity on left, 1 on right
Write an exponential function with an initial amount of 5,000 and a growth percent of change of 8%.
f(x)=5,000(1.08)x