Question

Write a real world situation that can be modeled by the inequality46h > 86 + 25h.

Answer 1

Let's say you're renting a boat

Let h = number of hours you rent the boat

if it costs $46 per hour to rent a boat, then it will cost a total of 46*h or 46h dollars
Now let's say that you get a discount if you are a member. The membership fee is $86 leading to the discount hourly cost to be $25 per hour. If you rent for h hours, then you pay a total of 86+25h dollars

Writing 46h > 86+25h will represent cases when the nonmembership option is more expensive (and the membership option more cheaper). Solving for h will help determine when the membership option is cheaper.