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Suppose the ratio of the number of hours a restaurant is opened to the number of daily customers it gets is constant. When it is opened 9 hours, the number of customers is 120 less than the maximum number of customers. When it is opened 24 hours, the number of customers is 50 less than the maximum number of customers. Write an equation describing this situation and find the maximum number of daily customers.

Suppose the ratio of the number of hours a restaurant is opened to the number of daily customers it gets is constant. When it is opened 9 hours, the number of customers is 120 less than the maximum number of customers. When it is opened 24 hours, the number of customers is 50 less than the maximum number of customers. Write an equation describing this situation and find the maximum number of daily customers.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose the ratio of the number of hours a restaurant is opened to the number of daily customers it gets is constant. When it is opened 9 hours, the number of customers is 120 less than the maximum number of customers. When it is opened 24 hours, the number of customers is 50 less than the maximum number of customers. Write an equation describing this situation and find the maximum number of daily customers.
Transcribed Image Text:Suppose the ratio of the number of hours a restaurant is opened to the number of daily customers it gets is constant. When it is opened 9 hours, the number of customers is 120 less than the maximum number of customers. When it is opened 24 hours, the number of customers is 50 less than the maximum number of customers. Write an equation describing this situation and find the maximum number of daily customers.
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