Question

The supervisor of a community garden project organised volunteers to help dig out weds. The more people they have the more weees get pulled the results are better than one might think although one person will pull only two bags a day two people will pull 5 bags a day and three people will pull 8 bags a day. The supervisor estimates that there are 30 bags worth of weeds to be pulled how many volunteers are needed to get the job done in a day?

Make an in x & y table that shows the information

Use the x & y table to solve the problem explain the reasoning

Answer 1

To pull 30 bags of weeds, 9 volunteers are needed....i think....

Answer 2

To solve the problem, we need to find the relationship between the number of volunteers and the bags of weeds pulled. From the table, we can observe that the bags of weeds pulled seem to increase by 3 for every additional volunteer. This gives us a linear relationship, where the number of bags pulled (y) is related to the number of volunteers (x) by the equation: y = 3x - 1.

Now, since the supervisor estimates that there are 30 bags worth of weeds to be pulled, we can set up the equation: 3x - 1 = 30. Solving for x:

➡ 3x = 31

➡ x = 31 / 3

➡ x = 10.33

Since you can't have a fraction of a volunteer, we round up to the nearest whole number.

Therefore, approximately 11 volunteers are needed to get the job done in a day.

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