Question

The cost of a pizza varies directly as the square of its radius. If a pizza with a 4-inch radius costs $7.00, how much should a pizza with an 11-inch radius cost? Show work.

Answer 1

$52.94

Explanation:

Cost of the pizza with radius 4 in.= 7 $

Cost ∝ Square of its radius

⇒ 7= 4²x

7= 16x

x=
`(7)/(16)`

Cost of the pizza with radius 11 in.= 11²x (Cost ∝ Square of its radius)

= 121 x
`(7)/(16)`

=
`(847)/(16)`

= 52.9375

= 52.94 $

∴ a pizza with radius 11 in. costs $52.94