Dominique from "Dominique's Pizza" bakes p pizzas every day. Currently, it costs her $8 dollar sign, 8 per day to use the oven a
nd $1.50 per pizza for the ingredients Tomorrow, the price for the ingredients will increase from $1.50 per pizza to $2 per pizza. The oven costs will stay the same at $8 per day.
Dominique did some calculations and found that she should bake 8 more pizzas each day in order for the total expenses per pizza (including ingredient and shared oven costs) to remain the same.
Write an equation in terms of p to model the situation.
The equation in term of p that models the above experience is: 2p + 10 = 0.8p + 20.
<h3>What is an equation?</h3>
Any statement that models or captures the factors of a problem where in an equal sign is present to equate two of the factors or expressions therein is called an equation.
<h3>How do we form the above equation?</h3>
Everyday pizza production is equal to p.
Brick oven use fees are $10 per day.
Ingredients for brick oven pizza cost $2 per pizza.
$20 a day is the cost of using an electric oven.
Pizzas baked in an electric oven cost $0.8 per pizza in ingredients.
If an electric oven is used, the total cost of making a pizza falls by $1, including the cost of the ingredients.
Total cost of baking p pizzas with brick oven = A = p(cost of one pizza) + cost of baking = p(2) + 10 (in dollars).
Total cost of baking p pizzas with electric oven = B = p(cost of one pizza) + cost of baking = p(0.8) + 20 (in dollars).
B = A - 1 (as using electric oven saves $1 per day, as given)
