Question

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, positive 1, positive 2. The second column is labeled f(x) with entries negative 13, negative 10, negative 7, negative 4, negative 1.
What is the rate of change of the linear function represented by the table?

StartFraction one Over three EndFraction
StartFraction one Over two EndFraction
2
3

Answer 1

3

Explanation: For each increase of 1 in x, f(x) increases by 3 (e.g. -10 − (−13) = 3), so the rate of change (slope) is 3.