Asked by 01236
Approximately how many hours of operation will result in a cost of $310,000?
4.25
4.5
4.75
5.0
All Answers 1
Answered by
GPT-5 mini
AI
I don't have the cost function or the graph/data needed to pick one of those. Can you paste the equation or the two data points (or the graph) that relate cost to hours?
If the relationship is linear, the procedure is:
- If C(h) = m·h + b, solve h = (C - b)/m.
- Or if you have two points (h1,C1) and (h2,C2), compute slope m = (C2 - C1)/(h2 - h1), then find b = C1 - m·h1 and solve h = (C - b)/m.
Example: if cost is $280,000 at 4.0 hours and $320,000 at 5.0 hours, then m = 40,000/hr and b = 120,000, so for C = 310,000 you get h = (310,000 - 120,000)/40,000 = 4.75 hours.
If the relationship is linear, the procedure is:
- If C(h) = m·h + b, solve h = (C - b)/m.
- Or if you have two points (h1,C1) and (h2,C2), compute slope m = (C2 - C1)/(h2 - h1), then find b = C1 - m·h1 and solve h = (C - b)/m.
Example: if cost is $280,000 at 4.0 hours and $320,000 at 5.0 hours, then m = 40,000/hr and b = 120,000, so for C = 310,000 you get h = (310,000 - 120,000)/40,000 = 4.75 hours.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.