Use the table to answer the question.

Question

x y
2 3
3 5
4 7
5 9
6 11
The table shows different values for a linear function. Calculate the rate of change of the function between 5 and 6.(1 point)
Responses

11
11

−2
negative 2

12
Start Fraction 1 over 2 End Fraction

2
2
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Answer 1

To calculate the rate of change of the function between the values of \( x = 5 \) and \( x = 6 \), we can use the formula for the rate of change (slope) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

From the table, we have the following values:

• At \( x = 5 \), \( y = 9 \)
• At \( x = 6 \), \( y = 11 \)

Now, we can substitute these values into the formula:

\[ \text{Rate of Change} = \frac{11 - 9}{6 - 5} = \frac{2}{1} = 2 \]

Thus, the rate of change of the function between \( x = 5 \) and \( x = 6 \) is \( 2 \).

The correct response is:

2