Question

2.1 A new field is to be turned into a soccer ground. It is covered in weeds and volunteers are needed to clear it. It was estimated that it would take 2 men 12 days to weed. The following table was drawn up: No. of Volunteers 3 5 6 No. of days 12 4 2.1.1 Complete the table above. (6) 2.1.2 Is the relationship represented direct or indirect proportion? Give a reason for your answer. (3) 2.1.3 Give the names of the two variables given above and indicate which is independent and which is dependent? (4) 2.1.4 If the field must be complete in 1 day, how many volunteers will be needed? (2) 2.1.5 Draw a graph on the set of axes provided below to represent the data given (5) above. Number of days to weed a field. 12 11 10 9 No. 00 N of 6 5 days 1 3 2 1 0 0 1 2 3 5 6 7 8 DO 9 11 12

Answer 1

For 2 Volunteers hours= 12 days

For 3 = X days = 10 days

For 4= 8 days

For 5 = 6 days

from 12 to 4 there are 8

And from 6 to 2, there are 4

Then divide 8/4= 2

Part B) Is an INVERSE relationship, because more volunteers, means less time

Part C) Independent variable is , number of volunteers

Dependent variable is time to clear soccer field

Part D) How many volunteers in 1 day ?

= 12+2= 14 volunteers