Graphing
Equations
Identify
Solve
100
What ordered pair is used for the origin?
(0,0)
100
Is this equation proportional? y= 3x
If so what is the constant of proportionality? (k)
Yes, k=3
100
Are these ratios proportional?
Yes
100
Viona rides their bike for 2 1/2 hours and travels 40 miles. What is their unit rate in miles per hour?
16 miles per hour
200
How do you tell if a graph represents a proportional relationship.
Straight line through the origin or if y/x is constant.
200
Is this equation proportional? If so what is the constant of proportionality? Explain.
y= 4x + 10
Not proportional, does not go through (0,0).
200
Is the graph a proportional relationship? Explain.
No, does not go through the origin
200
Given the table is proportional. How many apples would 9 trees have?
117 apples
300
Are all line graphs proportional relationships?
No, they may not go through (0,0).
300
Is this equation proportional? If so what is the constant of proportionality? (k=)
y= ¾x
Yes, k = 3/4
300
Is the table proportional? Explain.
No, it does not have a constant of proportionality
300
Given the table is proportional, how many trees would it take for there to be 494 apples?
38 trees
400
Is this graph proportional? Explain.
Yes, because it is a straight line that goes through the origin
400
Using this graph, What is the equation?
y = 5x
400
Is the table proportional? Explain.
Yes it is proportional because it has a constant of proportionality which is 9
400
Solve
n = 3.8 or 19/5 or 3 4/5
500
Paul drives to his friends house 250 miles in 5 hours. If this is drawn on a graph where y is miles and x is hours, then what is the ordered pair for this data if it is graphed on a coordinate plane?
Data point is (5,250).
500
Write an equation for the proportional relationship shown in the table
y = 3/2 x
500
Are the following ratios proportional? Explain.
48:64 and 72:96
Yes, both reduce to 3:4 or cross product equals 4608.
500
Sam took 8 hours to drive 272 miles. If he drives at a consistant rate, how many miles can he drive in 10 hours?
340 miles