graphing proportional relationships
equations of proportional relationships
identifying proportional relationships
Solve
Study Guide
100
What numbers are the orgin?
0,0
100
What is the constant of proportionality in the equation y = 3x?
k=3
100
Which variable is the independent variable?
x
100
What letter represents the constant of proportionality?
k
100
Christian drives 96 miles in 1.5 hours. What is his speed in miles per hour?
What is 64 miles per 1 hour
200
A relationship between 2 quantities where both quantities will increase or decrease by the same multiple/multiplier/constant of proportionality.
Proportional
200
What does the generic equation for proportional relationships look like?
y = k x
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
Which letter represents the dependent variable?
y
200
What is another name for unit rate?
What is Constant of Proportionality
300
what are 2 ways to tell if a graph is proportional
if the line is straight
goes through the orgin
300
What is the equation for the Constant of Proportionality?
k = y/x
300
Is the table proportional?
No
300
Given the table is proportional. Solve for K
K = 13
300
What is the definition of unit rate.
A rate of one of something; a fraction with one in the denominator
400
Is this graph proportional?
YES
400
Using this graph, What is the equation? Round your answer for k to the nearest hundredth.
y= 1/6x or y=0.17x
400
Is the table proportional?
Yes it is proportional
400
Jeremy can row 1/3 of a mile in 1/4 of an hour. What is his unit rate in miles per hour?
1 1/3 miles per 1 hour or 1.33 miles per 1 hour
400
Isabella is buying candy bars for her friends. The candy bars cost $1.05. She is buying them for 3 friends, costing her a total of $3.15. What is the constant of proportionality in this situation?
What is $1.05
500
There are two points that must always be on the graph of a proportional relationship. One point is the Origin (0,0). What is the other point?
(1, r)
500
Write an equation for the table given the table is proportional.
y = 1.5 x
500
The following points may be found on the graph of a proportional relationship. Which point is the unit rate?
(0,0) (9,1) (1,11)
(1,11)
500
Tia bought a gallon of milk for $3.59. The equation to represent this situation is y = 3.59x. If Tia needs to buy 5 more gallons of milk, how would she use the equation to find her total cost?
Tia would replace x with 5 and multiply 3.59 by 5 to get the total cost.
500
The point (1,r) on a graph, what does r mean?
What is unit rate