A bike rental company charges $50 for the first hour and $25 for each addition off Michael must spend no more than $200 on his bike rental for the day what is the maximum number of hours that Michael can rent a bike

Let's denote the number of additional hours after the first hour as x.

The total cost for x additional hours is $25x.
Therefore, the total cost for renting a bike for the day is $50 + $25x.

Since Michael must spend no more than $200 on his bike rental for the day:

$50 + $25x ≤ $200
$25x ≤ $150
x ≤ 6

So, the maximum number of hours that Michael can rent a bike is 6 hours.