Bertrand collects movie posters. The number of movie posters in his collection changes each month as he buys and sells posters. The table show how many posters he brought or sold in the given months.
January sold 20, February bought 12, March bought 22, April sold 28.
1. Which months have changes that can be represented by positive numbers? Which months have changes that can be represented by negative numbers?
2. Which month did the size of Bertrand's poster collection change the most? Use absolute value to explain your answer. My answer is the month of March which is -10.
1. feb, mar +
jan,apr -
3. March it ichanged by 22, apr changed by 28
Feb,Mar+
Jan,apr-
To answer question 1, we need to determine whether each month's change can be represented by a positive or negative number. Let's go through each month:
- January sold 20 posters. Since posters were sold, it represents a decrease in the collection, which can be represented by a negative number.
- February bought 12 posters. Since posters were bought, it represents an increase in the collection, which can be represented by a positive number.
- March bought 22 posters. Again, since posters were bought, it represents an increase in the collection, which can be represented by a positive number.
- April sold 28 posters. Similar to January, posters were sold, indicating a decrease in collection, which can be represented by a negative number.
Therefore, the changes in Bertrand's collection can be represented by positive numbers in the months of February and March, and by negative numbers in the months of January and April.
Now, let's move on to question 2. To find the month when Bertrand's poster collection changed the most, we need to consider the absolute value of the changes.
- January: Absolute value of the change is 20.
- February: Absolute value of the change is 12.
- March: Absolute value of the change is 22.
- April: Absolute value of the change is 28.
Looking at the absolute values, we can see that April has the largest change in the collection's size with an absolute value of 28. Therefore, the month of April has the most significant change in Bertrand's poster collection size.