Final answer:
The constant of proportionality that relates y, the total cost, to x, the number of ounces, is found by dividing the cost by the ounces in each pack. Each division results in $0.33 per ounce, making Option C the correct answer.
Step-by-step explanation:
The constant of proportionality relates the total cost, y, to the number of ounces, x, in the beef packs sold by Isaac. To find the constant of proportionality, you need to divide the total cost by the number of ounces for any of the listed amounts. For example, with the 18-ounce pack that costs $6.00, the constant is $6.00 ÷ 18 ounces = $0.33 per ounce. We can confirm this by checking the other amounts as well:
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- 27 ounces for $9.00: $9 ÷ 27 = $0.33 per ounce
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- 36 ounces for $12.00: $12 ÷ 36 = $0.33 per ounce
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- 45 ounces for $15.00: $15 ÷ 45 = $0.33 per ounce
This confirms that the constant of proportionality for all the given packs is $0.33 per ounce. Therefore, the answer closest to the constant of proportionality is Option C: $0.33.