The table shows the cost of birdseed at the Feed n Seed store. What is the constant of proportionality between the cost and the number of pounds?

A table titled Feed n Seed Bird Seed. The table has 2 columns, Pounds and Cost. Row 1 says 5, 2 dollars and ninety-five cents. Row 2 says ten, five dollars and ninety cents. Row 3 says fifteen, 8 dollars and eighty-five cents.
A
0.59

B
0.60

C
1.18

D
2.95

The constant of proportionality of a relationship between two variables X and Y can be defined as the ratio between of X and Y at a constant value. This means that the ratio or product of X and Y will give us a constant if both are in a proportional relationship.

Thus, the constant of proportionality for the relationship between two variables X and Y would be calculated as:

Constant of proportionality (k) = Y/X. [this is the proportional between the two quantities, X and Y].

Given the table of values, using a pair of points on the table, say, (5, 2.95), we can calculate the constant of proportionality as:

X = 5

Y = 2.95

Constant of proportionality (k) = Y/X = 2.95/5

Constant of proportionality (k) = 0.59 pounds per dollar.

Therefore, the constant of proportionality between the cost and the number of pounds is: A. 0.59.

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