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""Part A: Solve the equation y = 24x for y. What is the constant of proportionality?

Part B: Describe a situation that the equation from Part A could represent. Be sure to specify what x and y represent.""

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Final answer:

The equation y = 24x has a constant of proportionality of 24, meaning y increases by 24 for every increase in x. An example situation could be a company charging $24 per hour, with y representing total cost and x representing hours worked.

Step-by-step explanation:

To solve the equation y = 24x for y, we can pick any value for x and multiply it by 24 to get y. The constant of proportionality in this equation is 24, which means for every unit increase in x, y increases by 24 units. This is an example of a relationship where y is directly proportional to x.

For Part B, an example situation could be: Suppose a company charges $24 for every hour of work. In this case, y would represent the total amount charged, and x would represent the number of hours worked. So, if the company worked for 5 hours, the total cost (y) would be calculated as y = 24 × 5, which equals $120.

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