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at the beginning of the summer the level of a pond is 2 feet below its normal level after an unusually dry summer the water level of the pond dropped another 1 1/3 feet. use a number line diagram to model the ponds current water level in relationship to its normal water level

User Ximik
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Final answer:

To represent the current water level of the pond after an unusually dry summer, we draw a number line starting at 0 for the normal level, mark the initial level at -2 feet, then move another 4/3 feet down to get to the current level of -10/3 feet.

Step-by-step explanation:

To model the pond's current water level in relation to its normal water level, we begin by drawing a number line. Our starting point will be the normal water level, which we can consider as 0 on the number line. Since the pond level was initially 2 feet below normal, we'll mark a point at -2 feet to represent the beginning of summer level.

Over the dry summer, the water level dropped another 1 1/3 feet, so we'll move 1 1/3 feet further down the number line. To find this position, we note that 1 1/3 feet is the same as 4/3 feet. Starting at -2 feet, we move down the number line by 4/3 feet. Since we're working with negative numbers, this is the equivalent of subtracting 4/3 feet from -2 feet, which gives us -2 - 4/3. To compute this, we convert -2 to -6/3 (since -6/3 is the same as -2 when the denominator is 3). Our calculation is now -6/3 - 4/3 = -10/3 feet. Therefore, the current water level of the pond is at -10/3 feet on our number line in relation to its normal level.

User Alexander Solonik
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