Ted the plumber charges a fee of $120 plus $250 per hour. Let \;\;\;\;\;\;\; \displaystyle y represent the total amount Ted charges for a job, and let \;\;\;\;\;\;\; \displaystyle x represent the number of hours Ted spends on that job. Which equation below represents Ted's pricing scheme?

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BlackTom AI · Accepted Answer

The problem describes Ted's pricing as a fixed initial fee of $120 plus a variable amount of $250 for each hour of work. This structure is a linear equation where the total cost y equals the hourly rate times the number of hours x, plus the fixed fee.

Option analysis:
- Option a: y = 250x + 120. This expression directly matches the described pricing: 250 dollars per hour multiplied by the number of hours x, plus the 120-dollar fixed fee. The constants and variables align with the scenario.
- If there were other options, we would compare them to see which correctly reflects a fixed base cost plus a per-hour charge. For example, a form like y = 120x + 250 would imply a $120 per hour rate with a $250 fixed fee, which does not fit the given description.

Notes about the provided data: the answer_options field is empty in the given input, so there are no alternative choices to contrast with option a. In a typical multiple-choice setup, you would evaluate each listed option to determine which one correctly models the pricing scheme. Here, the only candidate presented is a, which correctly captures the pricing structure as described.

My LMS Subjects Quiz 6

Ted the plumber charges a fee of $120 plus $250 per hour. Let \;\;\;\;\;\;\; \displaystyle y represent the total amount Ted charges for a job, and let \;\;\;\;\;\;\; \displaystyle x represent the number of hours Ted spends on that job. Which equation below represents Ted's pricing scheme?

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