Sure, let's break down the problem step by step to make it easier to understand.
1. The cost of parking without the pass is $12 per day.
2. The cost of buying the pass is $25 per month.
3. If you buy the pass, the daily rate drops to $8 per day.
4. We want to figure out after how many days it would be more cost effective to buy the pass.
To solve this, we need to compare the cost of parking without the pass to the cost of parking with the pass.
Let's imagine parking for "x" number of days in a month, where "x" is the number of days you parked.
Without the pass, the cost would be $12 multiplied by "x" because you're paying $12 for each day.
With the pass, the cost would be $25 (the cost of the pass) plus $8 multiplied by "x" (the discounted daily rate).
So the total cost with the pass would be $25 + ($8 * x).
To determine when it's more cost effective to buy the pass, we need to find the number of days "x" that makes the total cost with the pass less than the total cost without the pass.
In equation form, we can write:
$25 + ($8 * x) < $12 * x
We can solve this inequality to find the value of "x" that satisfies it. By doing so, we can determine how many days you need to park in order for buying the pass to be more cost effective.
Let me know if you would like further assistance with solving the inequality.