the grade 5 class decided to collect cans of food to donate to the food bank .After the 1st week ,they had collected 8 cans . The next week they collected 11 more . By the 3 rd week they had 31 cans

Following this pattern how long will it take for them to reach there goal of 150 cans
Thank you for helping

8+11+31=50 for 3 weeks and to get 150 cans you would need to collect for 6 more weeks.

Look for the pattern. The class started with 8 the first week, then added 11 for a total of 19 after week 2. Week 3, they had 31 cans. How many more is that than week 2? 12, right? Week 2 was +11, week 3 was +12, week 4 will be +13, for a total of 44, and week 5 will be +14 and the class will have 58 cans. See the pattern? You can do the rest from here.

Tim's family was collecting aluminium cans to recycle.They found out that they would get two cents for every three cans they collected.If they collected 2,187 cans,how much money did they receive?

To determine how long it will take for the grade 5 class to reach their goal of 150 cans, let's analyze the pattern of their weekly collection.

After the 1st week, they collected 8 cans.
The next week, they collected 11 more cans, making a total of 8 + 11 = 19 cans after the 2nd week.
By the 3rd week, they had 31 cans.

To find the pattern, we need to determine how many additional cans they collected each week. We can do this by finding the difference between the number of cans collected in consecutive weeks.

The difference between the 2nd and 1st week is 19 - 8 = 11 cans.
The difference between the 3rd and 2nd week is 31 - 19 = 12 cans.

Based on this pattern, we can assume that there is an increment of 1 additional can collected each week. Therefore, the difference between consecutive weeks will continue to increase by 1.

To calculate how many more weeks it will take to reach the goal of 150 cans, we need to calculate the number of additional weeks it will take to reach the difference between 150 and 31, which is 150 - 31 = 119 cans.

Since the difference between consecutive weeks increases by 1, we can divide the remaining cans (119) by the increase rate (1) to determine the number of weeks it will take to reach the goal:

119 / 1 = 119 weeks.

Therefore, it will take an additional 119 weeks for the grade 5 class to reach their goal of 150 cans.