Exponential Functions
Line of Best Fit
Predictions
Literal Equations
HodgePodge
100
A collectible card currently has a value of $200. The value of the card triples each year. Write an exponential function that models this situation?
y=200(3)x
100
Would the following data need a line or curve of best fit?
line
100
A high school sponsored a a badminton tournament. After each round one-half of the players are elevated. If there were 80 players at the start of the tournament, how many players are left after 4 rounds?
5 players
100
Solve for x: bx - 5 = c
x = (c+5)/(b)
100
Simplify:
224^(1/2)
4sqrt14
200
f(x) = 10(2)x, what is x=2.
2/3
200
What is the line of best fit for the data below?
y=4.53x+27.3
200
A football is kicked into the air with an initial upward velocity of 82 feet per second. Its height, h, in feet is recorded at various seconds. What is the height of the football after 5 seconds?
10 feet
200
Solve for V:
D=(M)/(V)
V = (M)/(D)
200
Solve: (4x-6)(x+7)
4x^2+22x-42
300
Graph f(x)=5x and g(x)=-5x on the same graph. How can we best describe this transformation?
a reflection over the x-axis
300
A football is kicked into the air with an initial upward velocity of 82 feet per second. It's height is recorded at various seconds (t) in the table below. Would we need a line or curve of best fit for this data?
curve of best fit
300
The height of a bouncing ball(measured in inches) after x bounces is represented by the equation f(x)=120(0.75)x. About how many inches high does the ball bounce after the fifth bounce?
28 inches
300
Solve for x: Ax + By = C
x = (C-By)/(A)
300
3sqrt27 - 2sqrt3
7sqrt3
400
Given g(x) = 5x + 2, state the domain.
All real numbers.
400
What is the curve of best fit for this data?
y=-0.5x2+3x+2
400
What are the formulas used to find the line of best fit and curve of best fit? **must have both written correctly!
see board
400
Solve for a.
c = (a+b)/(2)
a = 2c - b
400
Factor completely:
3x^2+18x+15
3(x+5)(x+1)
500
Is the following exponential function a growth or decay?
y=4(1/3)^x
decay
500
How can we tell to use a quadratic curve of best fit vs. a linear line of best fit?
multiple answers
500
The table in number of people in Virginia, in millions, who cast a ballot in the US Presidential election. Using the equation for a line of best fit, in which year would we expect to have 2.75 million people?
2025
500
Solve for b. y - b = mx
b= -mx + y
500
Solve:
(3x^2-9x-30)/(x-5)
3(x+2)