To determine the constant of proportionality (k) for each scenario, we need to calculate it based on the given relationships between the input (the quantity of items) and the output (the cost or amount corresponding to that quantity).
Let's go through the sections one by one:
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Cost of Gas (k = $ per gallon of gas): To determine the constant of proportionality for gas, you would need the values from the table (input: gallons, output: cost). If, for example, the table showed 2 gallons of gas costing $4.00, then: \( k = \frac{cost}{gallons} = \frac{4.00}{2} = 2.00 \) So, if cost values maintain a consistent ratio, you can compute k.
If the table provided is not proportional (e.g., different prices for the same gallon amounts), enter "n".
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Cost of Candy Bars Sold (k = $ per candy bar sold): Similar to the gas example, you would divide the total cost by the number of candy bars sold. For example, if 3 candy bars cost $6.00, then: \( k = \frac{6.00}{3} = 2.00 \)
Again, if the values do not consistently result in the same ratio, input "n".
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Eggs per Batch of Sugar Cookies (k = eggs per batch): If the relationship tells you that for every batch of cookies, a specific number of eggs is used (e.g., 2 eggs for 1 batch), then you simply note that: \( k = 2 \) eggs per batch.
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Cost of Bananas (k = $ per pound of bananas): To find this, divide the cost by the weight for bananas in a similar manner as shown before. For example, if 5 pounds cost $10.00, then: \( k = \frac{10.00}{5} = 2.00 \)
If the pricing is inconsistent among various weights, enter "n".
Please provide specific tables or values to evaluate the constants for each case more accurately! If you have values or ratios for each table, I can help you calculate k accordingly!