Question

Dominique from "Dominique's Pizza" bakes p pizzas every day. Currently, it costs her $8 dollar sign, 8 per day to use the oven and $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.

Answer 1

The equation in term of p that models the above experience is:
2p + 10 = 0.8p + 20.

What is an equation?

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.

How do we form the above equation?

1. Everyday pizza production is equal to p.
2. Brick oven use fees are $10 per day.
3. Ingredients for brick oven pizza cost $2 per pizza.
4. $20 a day is the cost of using an electric oven.
5. Pizzas baked in an electric oven cost $0.8 per pizza in ingredients.
6. 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)

Thus, we get:

2p + 10 = 0.8p + 20

Learn more about equations:
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