Question

Question

Use the table to answer the question.

y
2.6 −6
3.2 3
Determine the rate of change of the linear function given as a table of values.

(1 point)
Responses

m=15

m=−5

m=0.067

m=−15

Answer 1

To determine the rate of change (slope) of the linear function represented by the table of values, we can use the formula for slope:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

From the table, we have the points:

\((x_1, y_1) = (2.6, -6)\)
\((x_2, y_2) = (3.2, 3)\)

Now we can substitute these values into the slope formula:

\[ m = \frac{3 - (-6)}{3.2 - 2.6} \]

Calculating the values:

\[ m = \frac{3 + 6}{3.2 - 2.6} = \frac{9}{0.6} \]

Now, dividing:

\[ m = 15 \]

Thus, the rate of change of the linear function is:

\[ \text{m} = 15 \]

So the correct response is:

m = 15