The line plot shows the weights of pumpkins available at a farm stand. The pumpkins cost $0.30 per pound.
A line plot named “Pumpkin Weights” shows data from 6 to 14 pounds in intervals of 1 pound. 6 has 3 dots. 8 has 5 dots. 9 has 1 dot. 10 has 7 dots. 12 has 4 dots. 13 has 2 dots. 14 has 1 dot.
A baker purchases all of the pumpkins to make pies. If she uses a $100 bill to pay for the pumpkins, how much change will she receive?
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To find out how much the baker will spend on the pumpkins, we need to calculate the total weight of all the pumpkins and multiply by the cost per pound. We can do this using the line plot:
6 pumpkins weigh a total of 6 x 3 = 18 pounds
8 pumpkins weigh a total of 8 x 5 = 40 pounds
9 pumpkins weigh a total of 9 x 1 = 9 pounds
10 pumpkins weigh a total of 10 x 7 = 70 pounds
12 pumpkins weigh a total of 12 x 4 = 48 pounds
13 pumpkins weigh a total of 13 x 2 = 26 pounds
14 pumpkins weigh a total of 14 x 1 = 14 pounds
Adding all these weights together gives a total of 225 pounds. Multiplying by the cost per pound of $0.30 gives a total cost of:
225 x 0.30 = $67.50
So the baker will spend $67.50 on the pumpkins. Subtracting this from the $100 bill she uses to pay gives:
$100 - $67.50 = $32.50
Therefore, the baker will receive $32.50 in change.