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.
<h3>How to Find the Constant Proportionality of a Proportional Relationship?</h3>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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You can build as many numbers as you like: just pick three primes and repeat them as required.
The only caution is that you have to pick large enough primes to make sure that the result is larger than 1000.
Since , it is enough that the prime repeating three times is larger than 10.
So, for example, we can pick
The result is
