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Question
interpret the average rate of change of -14/3 that you found previously. what does this mean in terms of the waterslide, from x = 0 to x = 15?
The average rate of change of -14/3 means that, on average, for every 1 - unit increase in the variable \(x\) (which could represent, for example, horizontal distance along the waterslide) from \(x = 0\) to \(x=15\), the corresponding quantity (such as height of the waterslide) decreases by 14/3 units.
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The height of the waterslide decreases, on average, by 14/3 units for every 1 - unit increase in the relevant variable (e.g., horizontal distance) from \(x = 0\) to \(x = 15\).