In her science classroom Jane noticed that the lengths (in inches) and the weights (in ounces) of the class's pet snakes were directly related by the equation y = kx, where x is the length and y is the weight. Use the information in the table to find k, the constant of proportionality?A.25.0 B.27.5 C.30.0 D.32.5

Answer:

C

Step-by-step explanation:

multiply by 2 then add half of the original number

The constant of proportionality(k) is 5/2 and the corresponding weight is

30 ounces for 12 inches.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The lengths (in inches) and the weights (in ounces) of the class's pet snakes were directly related by the equation y = kx.

Now, when x = 6, y = 15

15 = 6k.

k = 15/6.

k = 5/2.

Now, when length(x) is 12 then,

y = 12(5/2).

y = 30.

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