Explain the difference between a rate of change that is positive and one that is negative. Give an example of each.O Consider the ordered pair (x, y) where x is the independent variable and y is the dependent variable. If y increases with the increase in x, then the rate of change of y is positive. Whereas, if ydecreases as x increases, then the rate of change is negative. For example, if you consider the speed of a car (y) over time (x), as the car accelerates, the speed increases with increasing time,and the rate of change of its speed is positive. When the car brakes, the rate of change of its speed is negative, because the speed decreases over time.Consider the ordered pair (x, y) where x is the independent variable and y is the dependent variable. If y increases with a decrease in x, then the rate of change of y is positive. Whereas, if ydecreases as x decreases, then the rate of change is negative. For example, if you consider the speed of a car (y) over time (x), as the car accelerates, the speed increases, and the rate ofchange of its speed is positive. When the car brakes, the rate of change of its speed is negative, because the speed decreases over time.Consider the ordered pair (x, y) where x is the independent variable and y is the dependent variable. If y increases more and more quickly as x increases, then the rate of change of y is positive.Whereas, if y increases more and more slowly as x increases, then the rate of change is negative. For example, if you consider the speed of a car (y) over time (x), as the car accelerates from astopped position the speed increases quickly with time, and the rate of change of its speed is positive. When the car accelerates regularly, the rate of change of its speed is negative, becausethe speed increases less over time.Consider the ordered pair (x, y) where x is the independent variable and y is the dependent variable. If y increases with a decrease in x, then the rate of change of y is positive. Whereas, if ydecreases as x decreases, then the rate of change is negative. For example, if you consider the speed of a car (y) over time (x), as the car accelerates, the speed decreases with decreasingtime, and the rate of change of its speed is positive. When the car brakes, the rate of change of its speed is negative, because the speed increases over decreasing time.

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Accepted Answer

The rate of change of a quantity means the rate at which the quantity is changing. This positive…