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The constant of proportionality for hours of cups of water is 1/3 . The contestant of proportionality is defined as ratio that relates two given values in what is known as proportional relationship .
Water leaks through roof and collected in bucket. The given table shows how many cups of water collect in the bucket for different number of hours.
As we see in table , the cups of water increases with time (numbers of hours) . If we draw a graph between both by taking water cups values as y- coordinates on y-axis and other as x-coordinates on x-axis then we get a straight line graph ( increasing values) .
Constant of proportionality = time( in hours) / water (cups) = 2/6 = 4/12 = 6/18 = 8/24 = …. = 12/36 = 1/3 for all
So, the constant of proportionality is 1/3
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