The table shows the amount of dietary fiber in bananas. Use the table to find the constant of proportionality. Express your answer in decimal form
Answers
The Constant Of Proportionality Is 3.1
GIVEN
Amount of dietary fiber in 3 servings of banana = 9.3 grams
Amount of dietary fiber in 6 servings of banana = 9.3 grams
Amount of dietary fiber in 9 servings of banana = 9.3 grams
Amount of dietary fiber in 12 servings of banana = 9.3 grams
TO FIND
The constant of proportionality.
SOLUTION
We can simply solve the above problem as follows-
We know that the constant of proportionality is a constant number that represents the rate at which ratios of a quantity decrease or increase.
Let the constant of proportionality be, k.
So,
Where,
x = Quantity
y = Total Number of the quantity.
So,
Ratio 1 = 9.3/3 = 3.1
Similarly,
Ratio 2 = 18.6/6 = 3.1
Ratio 3 = 27.9/9 = 3.1
Ratio 4 = 37.2/12 = 3.1
since all the ratios are equal;
Therefore, k = 3.1
Hence, The Constant Of Proportionality Is 3.1
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