Proportional Relationships
Nonproportional Relationships
Writing Linear Functions
Functions
Vocabulary
100
$10 for 1 pizza and 18$ for 2 pizzas is not proportional because...
What is each unit rate is different. The first is $10/pizza and the 2nd is $9/pizza
100
What is the slope and y intercept of y = 4x + 3
What is m=4 b=3
100
Tell whether the equation can be written in the form y = mx + b. Write yes or no. If yes, write the equation in the form y = mx + b.
y = 3 − 2x
What is yes; y = -2x + 3
100
Is the equation y = 3x linear or nonlinear?
What is linear.
100
an equation that when graphed forms a straight line
What is a linear equation
200
What is the slope of a line with points (1, 2) and (3,4).
What is m=1
200
What makes y = 7x + 2 a non proportional relationship.
What is the y-intercept is 2 so this does not go through the origin.
200
Which equation is linear:
y = x^2 + 4
y = 9 + 3x
What is y=9 + 3x or y=3x + 9.
200
Tell whether each relationship is a function. {(0, 8), (1, 2), (3, 7), (5, 9), (3, 6)}. Explain!
What is not a function because the input repeats itself.
200
The y coordinate of the point where the graph of a line crosses the y axis.
What is y intercept.
300
What is the rate of change for 3 lawns mowed for $45 earned and 6 lawns mowed for $90.
What is $15/lawn.
300
What is the slope and y intercept of y - 3x = 5
What is m = 3 b = 5
300
First write an equation in the form y = mx + b. Then, solve each problem.
A sales associate is given a $500 hiring bonus with a new job. She earns an average commission of $250 per week. How much does she earn if she works for 12 weeks?
What is y=250x + 500, if x = 12, y = $3,500
300
Tell whether each relationship is a function. {(0, 0), (2, 4), (3, 6), (5, 5), (7, 6)}. Explain!
What is function because the input does not repeat or every input has exactly one output.
300
a ___ assigns to each input exactly one output
What is a function
400
What is the slope of a line with points (1, 2) and (3,2).
What is m=0
400
What is the slope and y-intercept of graph 1 & graph 2?
1) What is m=-2 b= 1 2) What is m=3/2 b = -2
400
Elizabeth's phone plan is represented by the table. Write your equation in y=mx+b form then, solve the problem.
What is y =0.05x + 25, y=26
400
A cheetah’s speed was timed over a 100- yard distance. The cheetah was clocked running 70 miles per hour. Write an equation that shows the relationship between the distance, y, and time, x, the cheetah runs.
What is y = 70x
400
________________ = slope
What is rate of change or unit rate.
500
Given the linear function y=6x-14, give me 3 ordered pairs that lie on the line.
Answers may vary.
500
Joseph has 45 gallons of water in his swimming pool, but 2 liters of water are leaking per minute. Write the linear equation to this problem.
What is y=-2x+45
500
First write an equation in the form y = mx + b. Then, solve each problem.
A water tank holds 18,000 gallons. If the water decreases at an average rate of 450 gallons per day, how long will it take the water level to reach 6,000 gallons.
What is y = −450x + 18,000; if y = 6,000,
x = 26.6 days.
500
Janelle and Matt run their own tutoring business's. Janelle charges an initial fee of $75 and then, $10 per hour of tutoring. Matt charges an initial fee of $50 and then, $20 per hour of tutoring. If a student needed to be tutored for 2 hours, whose business is cheaper?
What is Matt's business.
500
a linear equation y=mx + b where m represents the slope and b represents the y intercept
What is slope-intercept form.