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Average Rate Of Change

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The average rate of change is an average slope from the initial point to the final point. We would have to use A(x)=f(x)-f(a) divided by x-a to find the average rate of change. Sometimes we would want to know what the average rate of change is in the middle of the graph. The average rate of change is used in page 10, “How many more people?.” The concept of slope comes from the idea of a constant rate of change. To find the slope, you have to calculate y1-y2 divided by x1-x2. Slope is often denoted by the letter “m” which means that m+ equals the slope. Its problem is being used in page 21, “Rates, Graph, Slopes, and Equations.” Y=mx+b is the equation of the line that you can find using the two points. Variable “m” is the slope and “b” is the y-intercept. …show more content…

It is being used in page 22, “Rate, Graph, Slopes, and Equations” Quadratic rate of change comes from the parabola in the graph or the table. We would have to find the rate of change on each point because it won't be constant. y=ax^2+bx+c is the quadratic equation that we can find with the quadratic rate of changes. It’s being used in page 32, “To the Rescue.” Instantaneous rate of change is at a particular instant time at a point of the graph. The derivative is a way to look at by the meaning of instantaneous equal to the instantaneous rate of change. It would help you measure the instant time rather than the time on the table. It’s being used in page 34, “The Instant of Impact.” The derivative approximation is the slope of the line that is tangent to the curve at (a,b). It is also the instantaneous rate at which the y-value of function is changing as the x-value increases through

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