Question

A pizza shop charges customers based on the area of the pizza they order. The cost of a pizza in can be represented by S(r) = 0.1w^2. If the cost is $26.32, what is the diameter of the pizza? Round to the nearest hundredth.

a) 9.10 inches
b) 18.20 inches
c) 5.92 inches
d) 3.72 inches

Answer 1

To find the diameter of the pizza, set up the equation S(r) = 0.1w^2 with the given cost and solve for 'w'.

Step-by-step explanation:

To determine the diameter of the pizza, we need to find the value of 'w' in the equation S(r) = 0.1w^2. Given that the cost of the pizza is $26.32, we can set up the equation as follows:

26.32 = 0.1w^2

Divide both sides of the equation by 0.1:

w^2 = 26.32 / 0.1 = 263.2

Take the square root of both sides of the equation to solve for 'w':

w = sqrt(263.2) ≈ 16.21

The diameter of the pizza is twice the value of 'w', so the approximate diameter is 2 * 16.21 = 32.42 inches.