Team A
Team B
Linear Functions
Formulas and Equations
What Type of Function?
100
Based on the graph below, what is f(4)?
f(4) = 12
100
Based on the graph below, what is the average rate of change in the radius of the circle as the area increases from 3 square feet to 7 square feet?
0.125
100
A car leaves Albany, NY, and travels west toward Buffalo, NY. The equation
D = 280-59t
can be used to represent the distance, D, from Buffalo after t, hours. In this equation, what does the 59 represent?
The speed of the car
100
What is the standard form of a linear function?
Ax + By = C
100
What type of function?
h(t)=65-0.2t
Linear
200
What does the y-intercept of the following function represent in the context of the situation it represents?
The height of the firefighter holding the hose
200
Function f(x) epresents the population of bacteria x hours after 9 a.m. What does f(2)-f(1) represent in the context of the situation? be specific.
It represents the change in the population of bacteria from 10am to 11am
200
What is the equation, in slope-intercept form, of the following graph?
y = -2x+1
200
What form does the following equation represent?
y=a(x-h)^2+k
Vertex form of quadratic
200
What type of function?
Quadratic
300
A ball was thrown up into the air and allowed to bounce until it came to a halt. During the interval 5<x<6, is the ball's height increasing or decreasing?
Decreasing
300
A cafeteria worker is wondering how student lunch prices at a high school have changed over time. She researches lunch prices for the years 2000 through 2015 and plots the data in a scatter plot. The best–fit line for the data has the equation y = 0.057 x + 1.150, where x is the number of years since 2000 and y is the student lunch price, in dollars. What does the value 1.150 represent in the context of the situation?
The price of lunch in the year 2000
300
Eddie's Towing Company charges $40 to hook a vehicle to the truck and $1.70 for each mile the vehicle is towed. Write an equation that represents the relationship between the number of miles towed, m, and the total charges, c.
c = 1.7m+40
300
What does the following formula allow you to find?
x=-b/(2a)
The Axis of Symmetry or the x-coordinate of the vertex
300
What type of function?
P(t)=3(0.35)^t
Exponential
400
During the interval 3 < x< 5 is the function increasing, decreasing, or something else?
Decreasing
400
A truck driver travels from a distributor to a retailer every week. The driver records the distance that he is from the retailer at different times during his trip. After several weeks of collecting data, the driver creates a scatter plot of the data. The best–fit line is y = 73.6 – 67.8 x, where x is the number of hours spent driving and y is the distance, in miles, from the retailer. What does the value 67.8 represent in the context of the situation?
The speed of the truck
400
A, C
400
What type of equation is this the standard form equation for?
y=ab^x
Exponential
400
What type of function?
Linear
500
What is the domain of the function graphed below? Express it as an inequality.
0<=x<=200
500
A scientist measures the water temperature in the Gulf at Gulfport on the fifteenth of each month. Her data is shown in the table. What is the average rate of change between March 15 and June 15?
5.2 degrees per month
500
C, D
500
What is the quadratic function AND what does it help you find?
x=(-b+-sqrt(b^2-4ac))/(2a)
; helps you find the x-intercepts of the function
500
What type of function?
y=-3t(2t+5)
Quadratic