graphs of proportional relationships practice/ complete this assessment to review what you've learned. it will not count toward your grade
Question 1: What does a graph of a proportional relationship look like?
a) A straight line that passes through the origin (0,0).
b) A curved line that passes through the origin (0,0).
c) A straight line that does not pass through the origin (0,0).
d) A curved line that does not pass through the origin (0,0).
Question 2: For the following set of data, determine if the relationship is proportional and explain why.
x | y
-----------
1 | 2
2 | 4
3 | 6
4 | 8
a) The relationship is proportional because the y-values are twice the x-values.
b) The relationship is not proportional because the y-values are not double the x-values.
c) The relationship is not proportional because the x-values are not in order.
d) The relationship is proportional because the x-values are in order.
Question 3: Which of the following equations represents a proportional relationship?
a) y = 2x + 3
b) y = 3x - 1
c) y = -4x
d) y = x^2 + 5
Question 4: The table below represents a proportional relationship. Determine the missing value.
x | y
-----------
3 | 9
7 | ?
a) 3
b) 4
c) 12
d) 21
Question 5: For the following graph, determine if the relationship is proportional and explain why.
[image of a curved line that does not pass through the origin]
a) The relationship is proportional because the graph is curved.
b) The relationship is proportional because the graph passes through the origin.
c) The relationship is not proportional because the graph is curved.
d) The relationship is not proportional because the graph does not pass through the origin.
Answers:
1. a) A straight line that passes through the origin (0,0).
2. a) The relationship is proportional because the y-values are twice the x-values.
3. c) y = -4x
4. c) 12
5. c) The relationship is not proportional because the graph is curved.