a pizza shop sells pizzas that are 14 inches in diameter or 18 - inch diameter pizzas. both pizzas cost…

a pizza shop sells pizzas that are 14 inches in diameter or 18 - inch diameter pizzas. both pizzas cost $16.50 and have additional toppings priced at $2.50 each. write a function $f(x)$ that represents the cost of a pizza. be sure to specify what the variable $x$ represents.

a pizza shop sells pizzas that are 14 inches in diameter or 18 - inch diameter pizzas. both pizzas cost $16.50 and have additional toppings priced at $2.50 each. write a function $f(x)$ that represents the cost of a pizza. be sure to specify what the variable $x$ represents.

Answer

Explanation:

Step1: Identify the fixed - cost and variable - cost components

The fixed cost per acre is $15$ dollars for seeding and $30$ dollars for additional labor, so the total fixed cost per acre $F = 15+30=45$ dollars. The variable cost per acre is the cost of seed, which is $5.5$ dollars per pound and we need $8$ pounds per acre, so the variable cost per acre $V=5.5\times8 = 44$ dollars.

Step2: Set up the cost function

The cost function $C(x)$ for $x$ acres is the sum of the total fixed cost and the total variable cost. The total fixed cost for $x$ acres is $45x$ (since the per - acre fixed cost is $45$) and the total variable cost for $x$ acres is $44x$ (since the per - acre variable cost is $44$). So $C(x)=(45 + 44)x=89x$.

Answer:

$C(x)=89x$