The cost of a pizza varies directly as the square of its radius. If a pizza with a 6 inch radius costs Php 8.00, how much should a pizza with an 11 inch radius cost?

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Answer:

An 11 inch radius pizza costs Php 14.63!

Step-by-step explanation:

We have to find the average cost for each inch radius of pizza!

8/6 = 1 1/3

The average cost is Php 1.33

Now we multiply that by 11

1.33 * 11 = 14.63

An 11 inch radius pizza costs Php 14.63

A pizza with a 6 inch radius costs Php 8.00.

A pizza with 11" radius costs Php 26.88.

Let:-

k = constant

c = cost of a pizza

r = radius of pizza

The cost of a pizza varies directly as the square of its radius.

[tex]c[/tex] ∝ [tex]r^{2}[/tex]

[tex]c=kr^{2}[/tex]

Where: c = 8, r = 6

[tex]8=k(6)^{2} \\k=\frac{8}{36} \\\\k=\frac{2}{9}[/tex]

When r = 11 inch

[tex]c=kr^{2}\\c=(\frac{2}{9})(11)^{2}\\c=26.88[/tex]

Therefore, A pizza with 11" radius costs Php 26.88.

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