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# Pizzeria Prices

GMAT-EGXG1N

A pizzeria sells cheese pizzas with diameters ranging from 10 - 20 inches. The price of a 10 inch pizza is \$8.99. Area can be calculated using the formula$A=\pi { r }^{ 2 }$where$r$is the pizza radius. The pizzeria uses a direct variation model to determine the base price of a pizza depending on its area. If the area of pizza$x$is double that of pizza$y$(thus requiring double the ingredients), the base price of$x$is double the base price of$y$. To remain competitive, the pizzeria offers discounts from the base price for larger pizzas. Calculate the base price,$P$, of a 20 inch diameter pizza according to the direct variation model. The pizzeria offers a \$15.00 discount resulting in a final sale price that is $D$% of $P$. Determine an algebraic expression for $D$​.

Value of P

Value of D

Value of P

Value of D

$17.98 Value of P Value of D$ 35.96

Value of P

Value of D

$80.82 Value of P Value of D$\cfrac {15}{P}\cdot100$Value of P Value of D$\cfrac {P-15}{P}\cdot100$Value of P Value of D$\cfrac {P-15}{15}\cdot100\$