SOLUTION: the cost of a pizza varies directly as the square of its radius.if a pizza with a 6 inch radius costs $8.00 how much should a pizza with an 14 inchradius cost?

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Question 978536: the cost of a pizza varies directly as the square of its radius.if a pizza with a 6 inch radius costs $8.00 how much should a pizza with an 14 inchradius cost?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +k+ = constant
Let +c+ = cost of a pizza
Let +r+ = radius of pizza
+c+=+k%2Ar%5E2+
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+8+=+k%2A6%5E2+
+k+=+8%2F36+
+k+=+2%2F9+
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+c+=+%282%2F9%29%2A14%5E2+
+c+=+%282%2F9%29%2A196+
+c+=+392%2F9+
+c+=+43.56+
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A pizza with 14" radius costs $43.56