Asked by Sarah
3) While traveling for vacation, you have decided to divide your lodging between a resort, and a regular stay hotel. Let x represent the number of nights you will spend in a resort, and let y represent the number of nights you will spend in a regular stay hotel.
a. Write a system of inequalities that models the following conditions:
i. You want to stay at least 5 nights
ii. At least one night will be spent at a resort
iii. Resorts average $200 per night and regular stay hotels average $100 per night. Your budget does not exceed $700 for lodging.
b. Graph the solution set of your system of inequalities
c. Based on your graph, how many nights can you spend at a resort and stay within your budget?
a. Write a system of inequalities that models the following conditions:
i. You want to stay at least 5 nights
ii. At least one night will be spent at a resort
iii. Resorts average $200 per night and regular stay hotels average $100 per night. Your budget does not exceed $700 for lodging.
b. Graph the solution set of your system of inequalities
c. Based on your graph, how many nights can you spend at a resort and stay within your budget?
Answers
Answered by
PsyDAG
1. x + y > 5
2. x > 1
3. 200x + 100y < 700
Cannot graph here.
2. x > 1
3. 200x + 100y < 700
Cannot graph here.
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