Determining Linear Functions

What is the primary method to determine if a table represents a linear function?

• By checking if the values are all positive

• By checking if the table has an equal number of rows and columns

• By examining the change in y over the change in x

• By ensuring all x values are even

In the example of number 4, what is the rate of change?

• -3

• 3

• -1/3

• 1/3

Why is the function in number 5 not linear?

• Because the x values are all the same

• Because the y values are all positive

• Because the change in y is not consistent

• Because the table has more rows than columns

What is the rate of change in the function of number 20?

• -2

• 2

• -1

• 1

In number 21, where is the inconsistency in the rate of change?

• There is no inconsistency

• In both x and y values

• In the x values

• In the y values

Why is the function in number 22 not linear?

• Because the y values are all positive

• Because the table has more rows than columns

• Because the x values are all the same

• Because the change in y is not consistent

What is the rate of change in the final example discussed?

• 1/4

• 1/2

• 1

• 2

How do you calculate the rate of change using a graph?

• By calculating the rise over the run

• By measuring the distance between the points

• By adding the x and y values

• By counting the number of points on the graph

In the example with 200 miles and 5 hours, what is the rate of change?

• 20 miles per hour

• 40 miles per hour

• 60 miles per hour

• 50 miles per hour

What should you look for on a graph to determine the rate of change?

• Points that are close together

• Points that are nice and obvious

• Points that are on the x-axis

• Points that are far apart