Question

The cost of material used in making a Frisbee varies directly with the square of its diameter. If it costs the manufacturer $0.45 for the material of a Frisbee with a 9-inch diameter, then what is the cost for the material for a Frisbee with a 12-inch diameter?

Answer 1

Answer:

c = $0.8

Step-by-step explanation:

Let

cost of material = c

Diameter = d

c = k*d²

If it costs the manufacturer $0.45 for the material of a Frisbee with a 9-inch diameter

c = k*d²

0.45 = k * 9²

0.45 = k * 81

0.45 = 81k

k = 0.45/81

k = 0.0055555555555

what is the cost for the material for a Frisbee with a 12-inch diameter

c = k*d²

c = 0.0055555555555 * 12²

c = 0.0055555555555 * 144

c = $0.8