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Answer:

  D.  $10

Step-by-step explanation:

The cost per yard of soil at Luke's can be found using the slope formula.

  m = (y2 -y1)/(x2 -x1)

  m = (182.50 -123.50)/(5 -3) = 59/2 = 29.50

The y-intercept of the cost graph can be found from ...

  b = y1 -m·x1

  b = 123.50 -(29.50)(3) = 35.00

This is the charge when no soil is included in the delivery, so it is the delivery charge.

The difference between Luke's $35 delivery charge and Hope's $25 delivery charge is ...

  $35 -25 = $10 . . . difference in delivery charges

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