building a model that calculate effect of an event

Say I have a bike sharing company and want to know how events affect number of rides per day.

events vary on:

• number of coupons sent per user
• expiry date
• amount for each coupon.

I have created a df that looks something like this:

deploy  duration  avg_temp  rain  register_count   ...   rent_count
   33     131113      23      2.2       12                   33
   523    931143      25      0         322                  756
   63     231153      26      0         111                  124 
   123    566363      22      1.2       334                  345 

where rent_count is our target variable.

If I want to add columns that describe events(num_coupons, duration, etc...) how should I design columns?

So at the end I want to build a model that would look something like this:

Y = b0 + b1x1^n + .... + bnxn^n.

therefore I can calculate how much event variable is contributing to Y.