Question

what is the rate of change of the function represented by the table?

\

$$\begin{array}{|c|c|} \\hline x & y \\\\ \\hline 1 & 5 \\\\ \\hline 2 & 5 \\\\ \\hline 3 & 5 \\\\ \\hline 4 & 5 \\\\ \\hline \\end{array}$$

• 0
• 1
• 4
• 5

Explanation:

Identify coordinates from the table

We select two points from the table to calculate the rate of change. Let's choose:

$$(x_1, y_1) = (1, 5)$$

$$(x_2, y_2) = (2, 5)$$

Apply the rate of change formula

The rate of change is the ratio of the change in \(y\) to the change in \(x\):

$$\text{Rate of Change} = \frac{y_2 - y_1}{x_2 - x_1}$$

Calculate the values

Substitute the coordinates into the formula:

$$\text{Rate of Change} = \frac{5 - 5}{2 - 1} = \frac{0}{1} = 0$$

Answer:

• (A) 0 (Correct answer)
• (B) 1
• (C) 4
• (D) 5