Question

Evelyn was planning her next vacation and budgeted $1,100 for airfare and hotel expenses; $420 for round trip airfare and $140 per night for the hotel. The situation is modeled using this inequality, where n represents the number of days Evelyn can stay in the hotel.

420+140n≤ 1100
Which statement about the number of days Evelyn can stay in a hotel is true?
1. maximum stay of 4 days
2. minimum stay of 4 days
3. maximum stay of 5 days
4. minimum stay of 5 days

Answer 1

Evelyn can afford to stay for a maximum of 4 days in the hotel, as determined by the budget inequality 420+140n≤ 1100, which upon solving for n gives us n≤ 4.857....

Step-by-step explanation:

Evelyn's vacation budget is constrained by the inequality 420+140n≤ 1100, where n represents the number of nights she can spend in the hotel. To determine the maximum number of days she can stay, we need to solve for n. This involves isolating n on one side of the inequality:

140n ≤ 1100 - 420

140n ≤ 680

n ≤ ⅔

Dividing both sides by 140, we get:

n ≤ 4.857...

Since Evelyn can't stay for a fraction of a day, we round down to the nearest whole number.

Thefinal answer is that Evelyn can stay for a maximum of 4 days in the hotel.