QQuestionMathematics
QuestionMathematics
What is the average rate of change between the points (3, 9) and (5, 15)?
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Answer
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Step 1:I'll solve this step-by-step using the average rate of change formula:
Step 2:: Recall the formula for average rate of change
\frac{\Delta y}{\Delta x} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}
The average rate of change is calculated by the change in y divided by the change in x:
Step 3:: Identify the coordinates
x_{1} = 3, y_{1} = 9
x_{2} = 5, y_{2} = 15
Step 4:: Calculate the change in y (\Delta y)
\Delta y = y_{2} - y_{1} = 15 - 9 = 6
Step 5:: Calculate the change in x (\Delta x)
\Delta x = x_{2} - x_{1} = 5 - 3 = 2
Step 6:: Compute the average rate of change
\frac{\Delta y}{\Delta x} = \frac{6}{2} = 3
Final Answer
The average rate of change between the points (3, 9) and (5, 15) is 3.
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