Mergim’s family is planning a road trip. They have a budget of $600 for lodging and accommodations. They know that campsites cost $20 per night and hotel rooms cost $140 per night. a. Write a linear inequality to describe this situation. Let x represent the number of nights that Mergim’s family camps and let y represent the number of nights that they stay in a hotel. b. Describe the boundary line of the inequality. c. Interpret the point (16,2). Is it a valid solution for this situation? d. What should the family do if they want to take the longest possible vacation? e. What inequalities would be added to the system to indicate that the family wanted to spend a minimum of two nights in a hotel, and a minimum of three nights at a campsite?
Mergim’s family is planning a road trip. They have a budget of $600 for lodging and accommodations. They know that campsites cost $20 per night and hotel rooms cost $140 per night. a. Write a linear inequality to describe this situation. Let x represent the number of nights that Mergim’s family camps and let y represent the number of nights that they stay in a hotel. b. Describe the boundary line of the inequality. c. Interpret the point (16,2). Is it a valid solution for this situation? d. What should the family do if they want to take the longest possible vacation? e. What inequalities would be added to the system to indicate that the family wanted to spend a minimum of two nights in a hotel, and a minimum of three nights at a campsite?
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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Mergim’s family is planning a road trip. They have a budget of $600 for lodging and accommodations. They know that campsites cost $20 per night and hotel rooms cost $140 per night.
a. Write a linear inequality to describe this situation. Let x represent the number of nights that Mergim’s family camps and let y represent the number of nights that they stay in a hotel.
b. Describe the boundary line of the inequality.
c. Interpret the point (16,2). Is it a valid solution for this situation?
d. What should the family do if they want to take the longest possible vacation?
e. What inequalities would be added to the system to indicate that the family wanted
to spend a minimum of two nights in a hotel, and a minimum of three nights at a
campsite?
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