If you want the nearest 15 minute boundary, then the code is wrong. It will give you the previous 15 minute boundary.
You need to:
- add $interval/2 minutes to the time;
- subtract the remainder you'd get when dividing by $interval minutes.
Note that the modulus operator % only works with integers. In practice, you can probably ignore the fraction of a minute that gets thrown away. If you can't, then you'll need to write your own remainder function.
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