HELP!!!!
Dominic from "Dominic's Pizza" always bakes ppp pizzas each day. Currently, it costs him \$10$10dollar sign, 10 per day to use a brick oven and \$2$2dollar sign, 2 per pizza for the ingredients.

One day Dominic realized that if he switched to an electric oven, the use of the oven would cost him \$20$20dollar sign, 20 per day, but the ingredients would be cheaper, only \$0.80$0.80dollar sign, 0, point, 80 per pizza. This way, his total expenses for each pizza (including shared oven costs and ingredient costs) would be reduced by \$1$1dollar sign, 1.

Write an equation in terms of ppp to model the situation

Respuesta :

ekohn

Answer:

The answer is, 10+2p/p = 20+0.80p/p +1 ( the plus one goes in the middle of the last fraction, not in the middle of the equation the middle end)

Step-by-step explanation:

I got the first answer wrong on khan, this is the RIGHT ANSWER!!!!!!!!!!!!!!!!!!

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The equation in terms of p to model the situation considered is 2p + 10 = 0.8p + 20

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're given that:

  • Number of pizzas being baked each day = p
  • Cost of using brick oven = $10 per day
  • Cost of ingredients for pizzas  using brick oven = $2 per pizza
  • Cost of using electric oven = $20 per day
  • Cost of ingredients for pizzas  using electric oven = $0.8 per pizza
  • The resultant cost of baking p pizzas decreases by $1 if electric oven is used along with ingrediant cost using electric oven.

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:

[tex]2p + 10 = 0.8p + 20\\\\\text{Subtracting 0.8p + 10 from both the sides}\\\\2p + 10 - (0.8p + 10) = 0.8p + 20 - (0.8p + 10)\\p(2-0.8) = 20-10\\0.2p = 10\\\text{Dividing both the sides by 0.2}\\\\p = \dfrac{10}{0.2} = 50[/tex]

So 50 pizzas are baked per day.

Well, the equation we needed is the first equation: 2p + 10 = 0.8p + 20

Learn more about forming equations here:

https://brainly.com/question/11938672

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