Pizzas are being delivered. It cost $9 for 2 pizzas including delivery. Each pizza cost $4. Please solve in Point-Slope form!

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fichoh

The equation representing pizza purchase and delivery in point slope form is y = 2x + 1 and the delivery fee is $1

The total cost of pizza including delivery can be broken down thus :

  • Cost per pizza
  • Number of pizza purchased
  • Delivery fee (this is a constant)

General form of a point slope equation :

  • y = a + bx
  • y = total cost
  • a = intercept (Constant)
  • b = slope(cost per pizza)
  • x = number of pizzas purchased

From the question :

  • Total cost including delivery = $9 = y
  • Cost per pizza = $4 = b
  • Number of pizzas = 2

Putting the values into the equation :

9 = 4(2) + a

Solve for a

9 = 8 + a

9 - 8 = a

a = 1

This means that delivery fee is $1

The equation in point slope form is thus : y = 2x + 1

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