Question

Determine any data values are missing from the table assuming that the data represents a linear function.

Answer 1

Missing x:0

Missing y:1

Hence, option b is correct.

Explanation:

Given the table

x y

-9 3

-6 2

-3 missing

missing 0

As we know that the linear function has a constant common difference between the x values and y values.

From the table, it is clear that the x values have the same common difference, and the consecutive x values are separated by -3.

i.e. -9-(-6)=-3

-6-(-3)=-3

So the missing x value will be:

-3-(x)=-3

-3-(0)=-3

Therefore, the missing x value wil be: 0

From the table, it is clear that the x values have the same common difference, and the consecutive x values are separated by 1.

i.e.

3-2=1

2-y=1

y=1

Therefore, the missing y-value will be 1.

Therefore,

Missing x:0

Missing y:1

Hence, option b is correct.