Question

determine 4. mathematical eason of change find the rate of change represented by the table. use the table to find the slope. show your work, such as (2,4) and (3,6). for the table, complete the change in x and change in y. example: x: 1 to 2 is +1. y: 2 to 4 is +2. then find the rate of change. type your answer in the blank. find the rate of change represented by the table. the rate of change is

select the correct answer. which graph represents the values in the table?

(table 1: x: 1,2,3,4; y: 2,4,6,8)
(table 2: x: 0,1,2,3,4; y: 0,5,10,15,20)

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: Select Two Points from Table

Take \((x_1, y_1) = (0, 0)\) and \((x_2, y_2) = (1, 5)\).

Step3: Calculate Rate of Change

Substitute into the formula: \(\frac{5 - 0}{1 - 0} = \frac{5}{1} = 5\). Check with other points, e.g., \((1,5)\) and \((2,10)\): \(\frac{10 - 5}{2 - 1} = 5\). Consistent.

Answer:

5