The Artisan Pizza Co sells take-out pizza in two shapes: an “individual” 6-in. square slice and a circular “party” wheel with an 18 in. diameter. The party wheel is cut into 8 slices/sectors for the customer. An individual square slice costs $2.95 and the entire party wheel costs $15.95.

Which option is the better value, buying 8 square slices or buying the party wheel?

  party wheel

Step-by-step explanation:

Obviously, the Party Wheel, at about $16 is less expensive for 8 servings than 8 square slices at about $24. But that's not the whole story. The Party Wheel servings are smaller.

The area of a Party Wheel slice is ...

  sector area = (πr²)/8 = π(9 in)²/8 ≈ 31.81 in² . . . . somewhat less than 36 in²

So, its cost per square inch is ...

  unit cost of Party Wheel = ($15.95)/(8×31.81) ≈ $0.06268

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The cost per square inch of an Individual Slice is ...

  $2.95/(6 in)² ≈ $0.08194

The latter is about 30% higher cost for the same area as a Party Wheel.

The Party Wheel is lower cost for the same area, and also for the same number of (smaller) servings. It is the better value if you need all that.

party wheel

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316