# Math (Variation)

posted by .

The cost of a pizza varies directly as the square of its radius. If a pizza with a 6-inch radius costs ₱148.00, how much should a pizza with an 11-inch radius cost?

• Math (Variation) -

cost = k r^2
when r = 6, cost = 148
148 = k(36)
k = 37/9
cost = (37/9) r^2
so when r = 11
cost = (37/9)(121) = 497.44

or

cost1/cost2 = r1^2/r2^2
148/cost2 = 36/121
36cost2 = 148(121)
cost = 148(121)/36 = 497.44

## Similar Questions

1. ### Math 157

A 7 inch pizza cost \$8 and a 14 inch pizza costs \$20. Tommy says the smaller pizza is a better buy because the larger pizza is twice as big and more than twice as expensive. Do you agree with his reasoning?
2. ### Geometry check my answer?

Small Pizza- radius 6 in. cost \$9.75 Medium- radius 8in cost \$12 Large-diameter 20 in cost \$16.50 The edge is stuffed with cheese, and its the best part of the pizza/ What size has the most pizza edge pr dollar?
3. ### Geometry Ms. Sue help please?

Ms. Sue, can you help me again? you replied to my question but i still need a bit of help Small Pizza- radius 6 in. cost \$9.75 Medium- radius 8in cost \$12 Large-diameter 20 in cost \$16.50 The edge is stuffed with cheese, and its the
4. ### Math

If a pizza with a diameter of 12 inches costs \$10.99 , based on area, how much should a 15 inch pizza cost?
5. ### Math

What is better buy? A square 8in. pizza that cost \$10 or a round pizza with a 9 inch diameter that also costs \$10 Please explain how answer is found.
6. ### Math (Area of Shapes)

Suppose that when pizza dough is rolled out it costs 25 cents per square foot, and that sauce and cheese when spread out on a pizza have a combined cost of 60 cents per square foot. Let's say sauce and cheese are always spread out …
7. ### geometry

Papa's Pizza charges \$0.05 per square inch of pizza. Pizza is measured by the diameter. How much will pap's Pizza charge for a 7-inch, 10-inch, and 14-inch pizza?
8. ### Pre ALgebra

If a pizza with a diameter of 12 inches costs \$10.99, based on area, about how much should a 15-inch pizza cost?
9. ### Math

Cougar Pizza Parlor has just opened up across the street. You are thinking of inviting some friends over for pizza and ordering from Cougar's. You want to get the most pizza for the money. The menu shows the following prices. 6- inch …
10. ### Math

A 6-inch pizza costs \$3.50. A 12-inch pizza costs \$11. How much less is the area of the 6-inch pizza than the area of the 12-inch pizza?

More Similar Questions