Question

rs. Jackson gives the table below to her students.


In order for the function to be linear, what must a be and why?

a = 22 because the rate of change is 1.
a = 20 because the rate of change is 3.
a = 22 because the rate of change is –1.
a = 20 because the rate of change is –3

Answer 1

I don't see the table — could you paste or describe the x and y entries?

How to solve once I have it:
- For a linear function the rate of change (slope) between any two consecutive rows must be the same.
- Compute the slope between two rows that don't involve a. Compute the slope between a row that does involve a and a neighboring row. Set those equal and solve for a.
- That gives the required value of a; then compute the slope to pick the matching multiple‑choice statement.

If you paste the table I will solve it step by step and tell you which of the four choices is correct.