Question

10 A daycare serves orange slices to children at lunchtime. The table below shows howmany oranges were cut up and served each day of the week in relation to thenumber of children in attendance.M2115W2718Th2613ChildrenOranges2410Is there a proportional relationship between the number of children and the numberof oranges in this situation? Explain your answer and provide the constant ofproportionality if there is one.

Answer 1

To find out if there is a proportional relationship between the number of children and the orange slices we divide each number of slices by the number of children for each day. If this division is the same for all the days this means there is a proportion.

For monday we have:

`(15)/(21)=0.71`

For tuesday we have:

`(24)/(32)=0.75`

Now, since this ratios are not equal we conclude that there is not a proportional relationship between the number of slices and childre.