Question

HOTELS The Lincoln’s hotel room costs $90 a night. An additional 10% tax is added. Hotel parking is $12 per day. The Lincolns expect to spend $30 in tips during their stay. Solve the inequality 90x + 90(0.1)x + 12x + 30 600 to find how many nights the Lincolns can stay at the hotel without exceeding total hotel costs of $600.

Answer 1

5 nights

Explanation:

Solve the inequality:

90x + 90(0.1)x + 12x + 30
`\leq` 600

Add like terms:

102x + 30 + 90(0.1)x
`\leq` 600

Isolate the variables:

102x + 90(0.1)x
`\leq` 570

102x + 9x
`\leq` 570

111x
`\leq` 570

x
`\leq` 5.13

So, the Lincolns can stay for 5 nights without exceeding $600