Question

Which table shows a relationship with a constant rate of change of 9?

Answer 1

Answer:

Option C

Explanations:

The rate of change is given by the equation:

`\text{Rate of change = }(\triangle y)/(\triangle x)`

For the rate of change to be constant, Δy / Δx must be the same for all parts of the table.

In table A, the constant rate of change is (9-9)/(4-2) = 0

In table B, the constant rate of change is (13-11)/(4-2) = 2/2 = 1

In table C, the constant rate of change is (36-18)/(4-2) = 18/2 = 9

In table D, the constant rate of change is (10-9) / (4-2) = 1/2

Only table C has a constant rate of change of 9