Inequality Word Problems
100 POINTS!!!


Answer:
1. 4 nights
2. $154
Step-by-step explanation:
1. The airfare is a fixed cost, and the cost of staying at the hotel for n nights is 98 * n. So, we add this up: 478 + 93n. This cost can be no more than 850 because that's Jenna's budget limit. So, we have:
478 + 93n ≤ 850
Subtract 478 from both sides:
93n ≤ 372
Divide by 93:
n ≤ 4
The maximum number of nights is 4 nights.
2. Abigail currently has $45 and she needs m more dollars in order to achieve her goal of at least $199. Seeing "at least", we know that we need to use the ≥ sign:
45 + m ≥ 199
Subtract 45 from both sides:
m ≥ 154
Abigail still needs at least $154.
Hope this helps!
Answer:
1. 478 + 93n《850 ; max: 4
2. 45 + m》199 ; min: $154
Step-by-step explanation:
Cost: 478 + 93n
Budget: 850
478 + 93n《850
93n《372
n《4
Needed: atleast 199
Collected: 45 + m
45 + m》199
m》154