Question

find the rate of change in this table.
rate of change = \\(\frac{\text{change in } y}{\text{change in } x} = -\frac{?}{}\\)
options: 6, 5

Explanation:

Step1: Identify change in y/x

From the table, $\Delta y = +5$, $\Delta x = -6$

Step2: Compute rate of change

Substitute into the formula: $\text{Rate of Change} = \frac{\Delta y}{\Delta x} = \frac{5}{-6} = -\frac{5}{6}$

Step3: Match to given form

The given form is $-\frac{[?]}{[]}$, so the numerator is 5.

Answer:

5