proportional tables
Proportional graphs
Mixed Bag
Equations and Definitions
Test Questions
100
Is the table proportional? Explain.
Yes, it has the same unit rate of $2.65.
100
Is the graph proportional? Explain.
Yes, it has a straight line that starts at the origin.
100
What would a positive slope look like on a graph?
From left to right the line would go up or rise in y value
100
What Equation is used to find the Constant of Proportionality?
K=y/x
100
The distance a car travels varies directly with the number of hours it has been on the road. After 3 hours on the road, the car has traveled 204 miles. How many miles would the car have traveled after 6 hours on the road?
408 Miles
200
Write an equation for the proportional table. Use y=kx
y = 65x
200
What does the point represent in the graph?
5 tickets cost $40
200
Two triangles sit on the same linear line on a graph. Triangle ABC has a vertical leg of 2 and a horizontal leg of 3. Triangle XYZ has a vertical leg of 8 and a horizontal leg of 12. Do these triangles have the same slope? Extra 100 points if you can tell me what equation can be used to prove this.
Yes, they do! They both have slopes of 2/3. The equation Vertical change / Horizontal change can be used to determine if the slopes are the same.
200
What is the definition of unit rate?
A rate when the denominator is one or the amount per one
200
Jessica runs a long-distance event for her school’s track team. When Jessica runs at a steady pace, it takes her 180 seconds to run 2 laps around the track. What equation can be determined from this rate where x represents laps, and y represents seconds?
y=90x
300
What is the constant of proportionality for the following Table?
k = 1.5
300
Is the graph proportional?
No, it does not start at the origin.
300
At a grocery store, it costs a customer $8.32 to buy 4 pounds of grapes. What is the unit rate?
$2.08 per grape
300
What vocab word can be defined at "The positive constant, usually denoted k, that relates two quantities in the form y = kx"
Constant of Proportionality
300
Dalia makes beaded bracelets to sell. She uses 126 beads to make 7 bracelets. What equation would be used to describe the relationship between beads and bracelets if x represents braclets and y represents total beads?
y=18x
400
Is the table proportional? Explain.
No, they do not have the same unit rate.
400
Write an equation to represent the proportional graph. Use y=kx
y = 2x
400
If a table started with an x value of 0 and a y value of 280 would this represent a proportional relationship? Why or why not?
It would not. This would represent a y intercept of 280 and would not start at the origin (0,0)
400
Slope can be defined in several different ways: name two ways we can find the slope of a line.
Slope is
Rise/Run
Vertical Change/ Horizontal Change
Change in y / Change in x
Delta y / delta x
400
The number of cupcakes a baker makes varies directly with the amount of flour used to make the cupcake batter. The baker can make 42 cupcakes with 5 1/4 cups of flour. How many cupcakes can the baker make if 9 cups of flour are used
72 cupcakes
500
Is the table proportional, explain.
No, because it does not have a constant rate of $4.35.
500
What is the unit rate for the following proportional graph?
$20 per ticket
500
Given the equation Y=45x, find the x value if Y=315
x=7
500
What Equation is used to find the slope of a line given two points?
(y2-y1)/(x2-x1)
500
Ms. Langston needs to buy some fabric for a dress that she is making. At the fabric store, she can buy 3 yards of fabric for $13.14. What equation shows the relationship between the number of yards of fabric Ms. Langston buys, f, and the total cost, c?
c=4.38f