1. Selena is the manager for the high school football team. She is responsible for
helping organize a wholesome breakfast for the team. Today, the team is getting
whole wheat pancakes and bacon. The coach wants to make sure that the team's
breakfast provides them with the appropriate calories (enough to feel full, but
not so much that it could compromise their game play) and a limited amount of
sodium. Specifically, the coach has requested that the meal provide between 550
to 850 total calories and no more than 1,000 mg of sodium.
Selena does some research to find out the calorie and sodium content of each
pancake and slice of bacon. She discovers the following information:
Calories
Sodium (mg)
Slice of Bacon
54
178
Pancake
175
125
Selena needs to know all the combinations of pancakes and bacon that a player
could eat for breakfast and still keep within the coach's calorie and sodium
requirements. (Assume that players eat entire pancakes and unbroken pieces of
bacon.)

Respuesta :

The possible options for the players menu would be:

  • 4 tortillas 1 slice of bacon.
  • 3 tortillas 3 slices of bacon.
  • 2 tortillas 4 slices of bacon.
  • 1 tortilla 4 slices of bacon.

How to calculate the menu possibilities?

To calculate the menu possibilities we must take into account the standards established by the coach:

  • Calories between 550 and 850.
  • Sodium (mg) less than or equal to 1000.

According to these conditions, we must take into account that the total menu must not exceed these standards. For the above, we set different variables as shown below.

  • The first with as many tortillas as possible and the rest with slices of bacon.

Subsequently, we decrease the number of tortillas and increase the number of bacon to see all the viable possibilities.

Based on the above, the possibilities are as follows:

  • 4 tortillas and 1 slice of bacon = 754 calories and 675 mg sodium.
  • 3 tortillas and 3 slices of bacon = 687 calories and 909 mg of sodium.
  • 2 tortillas 4 slices of bacon = 566 calories and 962 mg of sodium.
  • 1 tortilla 4 Bacon slices = 391 calories and 837 mg sodium.

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