Use the table to answer the question.

Question

x 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 equals negative 15

m=0.067
m equals 0.067

m=15
m equals 15

m=−5
m equals negative 5
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Answer 1

To determine the rate of change of the linear function given in the table, we can use the formula for slope.

The slope, or rate of change, is equal to the change in y divided by the change in x.

For the first set of values (2.6, -6) and (3.2, 3), the change in y is 3 - (-6) = 9 and the change in x is 3.2 - 2.6 = 0.6.

So, the rate of change, or slope, is 9 / 0.6 = 15.

Therefore, the correct answer is m = 15.

Answer 2

are you sure?

Answer 3

Apologies for the confusion earlier. Let's re-calculate the correct rate of change using the given values.

For the first set of values (2.6, -6) and (3.2, 3), the change in y is 3 - (-6) = 3 + 6 = 9, and the change in x is 3.2 - 2.6 = 0.6.

So, the rate of change, or slope, is 9 / 0.6 = 15.

Therefore, the correct answer is m = 15.