Question

Which table representing a linear function has a lower rate of change than this function?

y = 2x−5

Answer 1

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Answer 2

The table representing a linear function that has a lower rate of change than this function y = 2x − 5 is: Table A

What is the rate of change of the function?

The rate of change of a function is also known as slope of the function.

The general formula for linear equation in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

Thus:

Rate of change of the line y = 2x - 5 is:

m = 2

Rate of change of table A is:

m = (-2 - 3)/(1 - 0)

m = -5

Rate of change of table B is:

m = (7 - 3)/(1 - 0)

m = 4

Rate of change of table C is:

m = (-2 - (-4))/(1 - 0)

m = 2

We see that the least rate of change is -5 which is given by table A and is lesser than that of the given equation which has a rate of change of 2.