To predict the number of paperclips the electromagnet with 30 coils will pick up, let's analyze the data provided for the electromagnets and the number of paperclips they picked up:
- 8 coils -> 2 paperclips
- 16 coils -> 7 paperclips
- 24 coils -> 11 paperclips
Now, we can see the relationship between the number of coils and the number of paperclips:
- From 8 to 16 coils, the number of paperclips increases from 2 to 7 (an increase of 5 paperclips).
- From 16 to 24 coils, the number of paperclips increases from 7 to 11 (an increase of 4 paperclips).
Looking at the pattern, let's analyze how much the number of paperclips increases with additional coils. The differences in paperclips per added coils don't follow a fixed pattern, but it seems to range around 4 to 5 paperclips for every increase of 8 coils.
Continuing this pattern from 24 coils to 30 coils, we can see that adding 6 coils (the difference from 24 to 30) might lead to an increase of around 2 to 3 paperclips.
If we assume that with 30 coils, the number of paperclips increases by about 3, we would project:
11 (current number with 24 coils) + 3 = 14 paperclips.
Thus, the best prediction for the number of paperclips the electromagnet with 30 coils will pick up is:
14 paperclips.