a pizza shop sells pizzas that are 12 - inches in diameter or 10 - inch small cheese pizzas cost $5.10, and…

a pizza shop sells pizzas that are 12 - inches in diameter or 10 - inch small cheese pizzas cost $5.10, and each additional topping costs $0.75. a 12 - inch large cheese pizza costs $8.15, and each additional topping costs $0.90. write a function that represents the cost of a 10 - inch pizza with ( t ) toppings.

a pizza shop sells pizzas that are 12 - inches in diameter or 10 - inch small cheese pizzas cost $5.10, and each additional topping costs $0.75. a 12 - inch large cheese pizza costs $8.15, and each additional topping costs $0.90. write a function that represents the cost of a 10 - inch pizza with ( t ) toppings.

Answer

planation:

Step1: Define the cost - function variables

Let $x$ be the number of additional guests. The base cost for 15 guests is $15\times18 = 270$. The cost for additional guests is $13x$, and the flat - rate for audio - visual is 30. So the total cost $C(x)$ is $C(x)=270 + 13x+30$.

Step2: Simplify the cost - function

$C(x)=300 + 13x$.

Step3: Analyze the form of the function

The function $C(x)=13x + 300$ is in the form of a linear function $y = mx + b$, where $m = 13$ (the slope, representing the cost per additional guest) and $b = 300$ (the y - intercept, representing the base cost including the audio - visual fee for 15 guests).

Answer:

The cost function is $C(x)=13x + 300$, where $x$ is the number of additional guests.