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A pizza shop sells pizzas that are 10 inches (in diameter) or larger. A 10-inch cheese pizza costs
$8. Each additional inch costs $1.50, and each additional topping costs $0.75. Write an equation
that represents the cost of a pizza. Be sure to specify what the variables represent​

Respuesta :

JeanaShupp

Answer: [tex]T=8+ 1.50 x+0.75y[/tex] , where 'x' denotes the number of additional inch to the pizza and 'y' denotes the number of additional toppings.

Step-by-step explanation:

Let 'x' denotes the number of additional inch to the pizza and 'y' denotes the number of additional toppings.

Given : A 10-inch cheese pizza costs  $8.

i.e. Fixed cost = $8

Each additional inch costs $1.50, and each additional topping costs $0.75.

∴ Cost of additional inch = $1.50 x

∴ Cost of additional topping = $0.75y

Then The Total cost of any pizza would be :

Total cost = Fixed cost + Cost of additional inch + cost of additional topping

= $8+ $1.50 x+$0.75y

⇒ Equation  that represents the cost of a pizza :

[tex]T=8+ 1.50 x+0.75y[/tex]

An equation that represents the cost of a pizza will be C = 8 + 1.50x + 0.75y

  • Fixed cost = $8
  • Cost of additional inch = 1.50x
  • Cost of additional topping = 0.75y

Total cost (C) will then be:

= 8 + (1.50 × x) + (0.75 × y)

C = 8 + 1.50x + 0.75y

Therefore, the equation to represent the cost is C =  8 + 1.50x + 0.75y

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