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
First write an equation in the form y = mx + b. Then, solve each problem. A water tank holds 18,000 gallons. How long will it take for the water level to reach 6,000 gallons if the water is used at an average rate of 450 gallons per day?
What is y = −450x + 18,000; if y = 6,000, x = 26.6 days.
100
Tell whether the equation is linear or nonlinear.
What is y = 3x
100
an equation that when graphed forms a straight line
What is 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 y intercept of 2 makes different unit rates
200
Tell whether each 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
200
Tell whether each relationship is a function. {(0, 8), (1, 2), (3, 7), (5, 9), (3, 6)}
What is not a function
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 for the next 12 weeks. How much does she earn?
What is . y = 250x + 500; if x = 12 weeks, y = $3,500.
300
Tell whether each relationship is a function. {(0, 0), (2, 4), (3, 6), (5, 5), (7, 6)}
What is function
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
State whether the graph of each linear relationship is a solid line or a set of unconnected points. Explain your reasoning. The relationship between the height of a tree and the time since the tree was planted.
What is . Solid line; Sample answer: The height of the tree can be measured at any moment in time.
400
First write an equation in the form y = mx + b. Then, solve each problem.A farm has 75 acres of wheat. The farmer can harvest the wheat from 12 acres per day. In how many days will all of the fields be harvested?
What is y = −12x + 75; if y = 0, x = 6.25 days.
400
A cheetah’s speed was timed over a 100- yard distance. The cheetah was clocked running 70 miles per hour. Which equation shows the relationship between the distance, y, and time, x, the cheetah runs?
What is y = 70x
400
a linear equation y=mx + b where m represents the slope and b represents the y intercept
What is slope intercept form of a line.
500
What is the slope of a line with points (1, 5) and (1, 2).
What is m=undefined.
500
State whether the graph of each linear relationship is a solid line or a set of unconnected points. Explain your reasoning. The relationship between the number of $12 DVDs you buy and the total cost.
What is set of unconnected points; You cannot buy a fractional part of a DVD.
500
First write an equation in the form y = mx + b. Then, solve each problem. Show your work. Mrs. Sanchez is given a $550 hiring bonus with a new job. She earns an average commission of $275 per week. If $68 is subtracted each week for taxes and benefits, how much does she earn in a year?
What is . y = (275 − 68)x + 550; if y = 1 yr, x = 52, y = $11,314
500
Jing just got a new job. She started at a pay rate of $12.50 per hour and will get a $0.50 raise each year. Max started a job where his salary is found by the equation: f(x) = x + 10, where x is the number of years. Who will earn more after per at 3 years?
Who is Jing?
500
A set of data that is made of two paired variables
What is bivariate data.
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