Question

Park Street Hotel charges a one-time 10 resort fee plus 2.95 per day for wireless internet use. Next door, The Fairmont charges a one-time resort fee of 18, which includes free wireless internet use. Which inequality below could be used to determine the number of days (d) you would have to stay in the hotel for The Fairmont to be a better deal, assuming you use the wireless every day?

Answer 1

An inequality of $18 < $10 + $2.95d can be used to determine the number of days The Fairmont is a better deal. After simplifying, the inequality is d > $8 / $2.95. Calculate this to find the minimum number of days for The Fairmont to be more cost-effective.

Step-by-step explanation:

To determine the number of days (d) you would need to stay at a hotel for The Fairmont to be a better deal than Park Street Hotel, we can set up an inequality. The cost at Park Street Hotel with a $10 resort fee plus $2.95 per day for wireless internet use is $10 + $2.95d. For The Fairmont, the cost with an $18 resort fee including free wireless internet is just $18.

So, The Fairmont will be a better deal if its total cost is less than the total cost at Park Street Hotel:

$18 < $10 + $2.95d

Now, subtract $10 from both sides of the inequality:

$8 < $2.95d

Finally, divide both sides by $2.95 to find the number of days:

d > $8 / $2.95

After calculating, you will find the minimum number of days you need to stay for The Fairmont to be the better deal.