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Chapter 8: Q 609. (page 1029)

If the cost of a pizza varies directly with its diameter, and if an 8鈥� diameter pizza costs $12, how much would a 6鈥� diameter pizza cost?

Short Answer

Expert verified

A pizza with a diameter of 6" will cost $9.

Step by step solution

01

Step 1. Given information.

The cost of a pizza varies directly with its diameter.

An 8鈥� diameter pizza costs $12.

Let's take c=the cost of pizza.

and d=the diameter of the pizza.

We know from the question that cvaries directly with d.

c=12whend=8

02

Step 2. Write the formula for direct variation and substitute given values.

The direct variation formula is y=kx.

we will use c in place of yand d in place of x.

c=kd

Now substitute the given values for the variable,

12=8k128=k32=k

Rewrite the general equation with the value we found for k,

c=32d

Now find cwhend=6,

c=32dc=32路6c=9

Therefore, a pizza with a diameter of 6" will cost $9.

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