the number of dogs taken in daily at a local animal shelter increased from 4 in october 2009 to 10 in january 2010. predict the number of dogs taken in daily in may 2010.

To predict the number of dogs taken in daily in May 2010, we can analyze the trend in the number of dogs taken in over time.

First, let's determine the change in the number of dogs taken in from October 2009 to January 2010:

Change = New Value - Old Value
Change = 10 - 4
Change = 6

This means the number of dogs taken in increased by 6 dogs from October 2009 to January 2010.

Next, we need to determine the average monthly increase in the number of dogs taken in:

Average Monthly Increase = Change / Number of Months
Average Monthly Increase = 6 / 3
Average Monthly Increase = 2

Therefore, on average, the number of dogs taken in increased by 2 dogs per month.

To predict the number of dogs taken in daily in May 2010, we need to consider the number of months from January 2010 to May 2010:

Number of Months = May 2010 - January 2010
Number of Months = 5 - 1
Number of Months = 4

Now, we can calculate the predicted increase in the number of dogs taken in daily in May 2010:

Predicted Increase = Average Monthly Increase x Number of Months
Predicted Increase = 2 x 4
Predicted Increase = 8

Since the number of dogs taken in daily was 10 in January 2010, we can add the predicted increase to this number to get the predicted number of dogs taken in daily in May 2010:

Predicted Number of Dogs Taken in Daily in May 2010 = 10 + 8
Predicted Number of Dogs Taken in Daily in May 2010 = 18

Therefore, based on the given information, we can predict that around 18 dogs will be taken in daily at the local animal shelter in May 2010.