Four friends on the track and field team are practicing for the throwing competition. Some think Samantha will throw the farthest because the mean distance of her throws is the greatest. Others think Samantha will throw the shortest distance because the median distance of her throws is the least. The plots show the distance for each friend's throws. Which is the most likely plot for Samantha's throws?

Shipping Fee = $ 6

Step-by-step explanation:

The complete question and the table is as follows :

Given - Julio is ordering books from Best Books for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order. Best Books charges the same shipping fee for every book order.

To find - How much is the shipping fee?

Proof -

We know that,

Total Cost = (Number of books buy)(Cost of 1 book) + Shipping Fee

Let us Assume that,

Cost of 1 book = x

Shipping Fee = y

So,

From the table, we get

21 = 5x + y               ..........(1)

36 = 10x + y              ..........(2)

51 = 15x + y               ..........(3)

66 = 20x + y             ..........(4)

From equation (1), we get

y = 21 - 5x

Put the value of y in equation (2), we get

36 = 10x + 21 - 5x

⇒36 = 5x + 21

⇒5x = 36 - 21

⇒5x = 15

⇒x = = 3

∴ we get

x = 3

Put the value of x , we get

y = 21 - 5(3)

  = 21 - 15

  = 6

⇒y = 6

SO, we get

x = 3

y = 6

Verify the 4 Equations :

21 = 5x + y               ..........(1)

21 = 5(3) + 6

    = 15 + 6

    = 21

⇒21 = 21

Verified

36 = 10x + y              ..........(2)

36 = 10(3) + 6

     = 30 + 6

     = 36

⇒36 = 36

Verified

51 = 15x + y               ..........(3)

51 = 15(3) + 6

    = 45 + 6

    = 51

⇒51 = 51

Verified

66 = 20x + y             ..........(4)

66 = 20(3) + 6

     = 60 + 6

     = 66

⇒66 = 66

Verified

So, we get

Cost of 1 book = x = $ 3

Shipping Fee = y = $ 6