Based on their equations that models each proportional relationship for each store, the correct statement is: A. The cost at Store A is $2.00 greater than at Store B.
How to Find the Constant Proportionality of a Proportional Relationship?
The constant of proportionality, k, is given as, y/x. The equation that models a relationship that has a constant (k), is expressed as y = kx.
The relationship between number of CDs in packages and its cost for each store is proportional because we are told the rate at each store is constant.
Using a pair of values in each table, we can find the constant of proportionality (k) and the equation that models each table given.
Store A:
Constant of proportionality, k = y/x = 0.70/1 = 0.70
The equation for store A would be, y = 0.70x.
Store B:
Constant of proportionality, k = y/x = 0.60/1 = 0.60.
The equation for store A would be, y = 0.60x.
Find the cost of a package containing 20 CDs for store A and store D using their equations by substituting x = 20 into each of the equations:
Store A: y = 0.70(20) = $14
Store B: y = 0.60(20) = $12
The difference between both stores is: 14 - 12 = $2.
Therefore, based on their equations that models each proportional relationship for each store, the correct statement is: A. The cost at Store A is $2.00 greater than at Store B.
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