Intercepts
Convert Standard Form to Slope-Intercept Form
Miscellaneous
Linear Functions
Word Problems
Word Problems
Linear Functions Vocabulary
100
Which axis does the x-intercept (zero) cross?
Which axis does the y-intercept cross?
X-intercept cross the x-axis
Y-intercept cross the y-axis
100
What is the slope of the line represented by the equation -x + 2y = 10?
1/2 or 0.5
100
What is the value of f(x) = 15.2x + 3.2 at x = -2.6
-36.32
100
A rental car costs $30 per day plus $0.20 per mile driven. Write the equation to find the total cost, y, for x miles driven in a single day.
What is y = 0.2x+30 ?
100
A measure of how one quantity changes in relation to another. For a linear function, it is the same as the slope.
Rate of Change
200
What is the y-intercept that represents the graph?
a. (3,0)
b. (5,0)
c. (0,3)
c. (0,3)
200
What is the y-intercept of the line represented by the equation 4x + 6y = 36?
6
200
Which situation shows causation?
a. The more you sleep, the more it rains outside.
b. The more you study, the smarter you become.
c. When you are at the beach, you get wet.
b. The more you study, the smarter you become.
200
An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that.
a) If an equation is written in slope intercept form, what is the value of "b" (y-intercept)?
b) What does the value of b represent?
a) $250
b) How much the attorney charges when first meeting.
200
The point where a line crosses the y-axis. It is the value of y when x=0.
Y-Intercept (b)
300
What is the y-intercept of the graph?
a. (0, -7)
b. (-7, 0)
c. (5,0)
d. (0,5)
d. (0,5)
300
Convert standard form equation to slope intercept form.
15x + 3y = 45
y = -5x + 15
300
What is the value of f(x) = 10.6x - 5 at x = 7.2
71.32
300
A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute.
a) What linear functions represents this situation?
b) How long will it take to get to 95 gallons in the tank?
a) y= 8x +55
b) 5 min.
300
In a function, the _______ is the independent variable. It is the value that is substituted into the function to determine the output.
Input
400
a. (-15, 0)
b. (0, -15)
c. (0, 15)
d. (15, 0)
b. (0, -15)
400
What is the slope of the line represented by the equation 12x + 3y = 48?
-4
400
Which situation best represents causation?
a. When you study for a test, your classmate studies too.
b. When you carry an umbrella to school, it rains.
c. When you lift weights, you become stronger.
c. When you lift weights, you become stronger.
400
A video streaming app charges a $9 membership fee and $1.50 for each video stream.
a) Write a linear equation in slope-intercept form to model this scenario.
b)How much would it cost to stream 12 videos?
a) y=1.50x + 9
b) $27
400
The following words and phrases are commonly also known as the ___________?
Initial Value
Starting Point
Vertical Intercept
Fixed Value
Entrance Fee
Y- Intercept
500
What is the y-intercept of graph?
a. (0,-2)
b. (-2,0)
c. (0,0)
a. (0,-2)
500
Convert the equation below to slope intercept form
-2x - 3y = -12
y=-2/3x+4
500
What type of correlation is the following data?
r = 0.0216
a. weak negative
b. strong positive
c. weak positive
d. strong negative
weak positive
500
You are at school, 12 miles away from home. You start walking home with your friends at a speed of 3 miles per hour towards your home.
a. Write an equation that represents your distance from home (y) after (x) hours.
b. How many hours does it take to get home?
a. y = -3x + 12
b. 4 hours
500
A _________ function is a function whose graph does not show a relationship between the input (x) and output (y).
nonlinear