Step 1 :Given that the average woman burns 8.2 calories per minute while riding a bicycle.
Step 2 :We need to find out how many calories she will burn if she rides for 35 minutes.
Step 3 :We can find the total calories burned by multiplying the rate of calories burned per minute by the total time spent riding the bicycle.
Step 4 :Let's denote the rate of calories burned per minute as \(calories\_per\_minute\) and the total time spent riding the bicycle as \(time\_in\_minutes\).
Step 5 :So, \(calories\_per\_minute = 8.2\) and \(time\_in\_minutes = 35\).
Step 6 :By multiplying these two values, we get the total calories burned, \(total\_calories\_burned = calories\_per\_minute \times time\_in\_minutes = 8.2 \times 35 = 287.0\).
Step 7 :Final Answer: The woman will burn \(\boxed{287.0}\) calories if she rides for 35 minutes.