The constant of proportionality is the amount a relationship will change for each unit.

Question

It is represented by the value of this ratio:

k=yx

One of the ways a proportional relationship is identified is with a table showing the input and output values that change by the same unit rate.

On this table, the pounds of peaches (p) is the input and the cost of the pounds (c) is the output. The constant of proportionality for the table may be determined:

k=yx = 2.251=2.25

All of the ratios on the table are equivalent. 4.52=2.25
6.753=2.25
94=2.25

k = $2.25 per pound of peaches



(4 points)
Determine the constant of proportionality for each table. If the table does not have an constant of proportionality, enter the letter "n" in box.



k = $
per gallon of gas

================================





k = $
per candy bars sold

================================



k =
eggs per batch of sugar cookies

================================



k = $
per pound of bananas

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Answer 1

To determine the constant of proportionality (k) for each of the scenarios, we need to analyze the given relationships in terms of input and output values. However, while you provided the structures for four tables to evaluate, you did not include the actual data for these tables.

For each relationship, the constant of proportionality is calculated by dividing the output value by the input value. The formulas based on the scenarios you provided would typically look like this:

1. For gallons of gas (k): \[ k = \frac{\text{Cost}}{\text{Gallons}} \]

2. For candy bars sold (k): \[ k = \frac{\text{Total Cost}}{\text{Number of Candy Bars Sold}} \]

3. For eggs per batch of sugar cookies (k): \[ k = \frac{\text{Number of Eggs}}{\text{Number of Batches}} \]

4. For pounds of bananas (k): \[ k = \frac{\text{Cost}}{\text{Weight in Pounds}} \]

Please provide the specific input and output values for each of the tables mentioned so that I can calculate the constant of proportionality for each case. If any of the relationships do not maintain a constant rate, I will note that with "n."