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Which function has lesser rate of change?
I. y = x + 5
II. y = 3x - 2

Sagot :

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Answer:

  I.  y = x +5

Step-by-step explanation:

You want to know which equation represents a smaller rate of change:

  I. y = x + 5
  II. y = 3x - 2

Rate of change

Each equation is written in "slope-intercept form", y = mx +b.

In this form, the rate of change (slope) is the coefficient of x. It tells the number of vertical units of change corresponding to each horizontal unit of change.

Equation I has a rate of change of 1.

Equation II has a rate of change of 3.

Function I has the lesser rate of change.

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Additional comment

For a question like this one, we're generally concerned with the magnitude of the rate of change.

For example, function I with a slope of 1 will be considered to have a lesser rate of change than a function such as y = -3x +6 with a slope of -3, even though -3 is less than 1 on a number line.

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