To predict the number of tacks that the electromagnet with 48 coils will pick up, we can analyze the data provided:
- For 12 coils, it picks up 4 tacks.
- For 24 coils, it picks up 9 tacks.
- For 36 coils, it picks up 13 tacks.
Now, let's look at the increases:
- From 12 to 24 coils (an increase of 12 coils), the number of tacks increases from 4 to 9 (an increase of 5 tacks).
- From 24 to 36 coils (an increase of 12 coils), the number of tacks increases from 9 to 13 (an increase of 4 tacks).
It appears that as the number of coils increases, the rate of increase in the number of tacks being picked up is decreasing.
From 36 coils to 48 coils is another increase of 12 coils. Following the trend of decreases, we can estimate:
If we see the pattern:
- The jump from 24 coils to 36 coils was 4 tacks, we might estimate the jump from 36 to 48 coils could be slightly less, perhaps around 3 tacks.
Adding this to the last known value:
- From 36 coils (13 tacks), an estimated increase of 3 tacks would suggest 16 tacks for 48 coils.
So, the best prediction for the number of tacks the electromagnet with 48 coils will pick up is 16 tacks.