1.
a. Draw a graph which shows the set of ordered pairs {(1, 4), (2, 4), (3, 8), (4, 10), (5, 12)}.
b. Does the set of ordered pairs represent a linear function?
2. The graph of the set of ordered pairs below represents a linear function. Find the rate of change.
{(1, 6.1), (2, 9.1), (3, 12.1), (4, 15.1)}
3. Does the relation defined by the table represent a linear function?
A. Yes, because the rate of change is not constant.
B. Yes, because the rate of change is 3.
C. No, because the rate of change is 3.
D. No, because the rate of change is not constant.
4. Determine whether the relation defined by the table represents a linear function.
A. Yes, because the rate of change is 2.6.
B. No, because the rate of change is not constant.
C. No, because the rate of change is 2.6.
D. Yes, because the rate of change is not constant.
5. A student is completing a homework assignment. Each minute, the student records the number of problems left to complete. The table shows the data.
a. What is the rate of change of this linear function?
b. What does the rate of change represent in this situation?
6.
a. Reasoning Does the relation represent a linear function?
A. Yes, because the rate of change is not constant.
B. No, because the rate of change is not constant.
C. Yes, because the rate of change is 3.
D. No, because the rate of change is 3.
b. If the change in outputs for a relation is not constant, does that mean the relation is not linear? Explain your reasoning.