Question

{(1,7), (2,11), (3,15), (4,19)} find the rate of change
1
4
not a constant slope/non-linear
7

Explanation:

Step1: Recall rate of change formula

The rate of change (slope) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(\frac{y_2 - y_1}{x_2 - x_1}\).

Step2: Calculate rate between (1,7) and (2,11)

Using the formula, \(\frac{11 - 7}{2 - 1}=\frac{4}{1} = 4\).

Step3: Calculate rate between (2,11) and (3,15)

\(\frac{15 - 11}{3 - 2}=\frac{4}{1}=4\).

Step4: Calculate rate between (3,15) and (4,19)

\(\frac{19 - 15}{4 - 3}=\frac{4}{1}=4\).

Since the rate of change is constant (4) for all consecutive points, the rate of change is 4.

Answer:

4