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Alejandro and some friends are going to the movies. At the theater, they sell a bag of popcorn for $3.50 and a drink for $4. How much would it cost if they bought 3 bags of popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and d drinks?

Total cost, 3 bags of popcorn and 8 drinks:______
Total cost, p bags of popcorn and d drinks:______

Sagot :

arharverson

Answer:

Step-by-step explanation:

Using a proportional relationship, the costs are given as follows:

  • 3 bags of popcorn and 8 drinks: $42.05.
  • p bags of popcorn and d drinks: C(p,d) = 3.35p + 4d.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

A proportional relationship may also involve multiple variables, as is the case in this problem, in which the cost is a function of the number of bags of popcorn p and the number of drinks d.

The constants are the prices of each product, hence the function for the total cost of p bags of popcorn and d drinks is given by:

C(p,d) = 3.35p + 4d.

Hence, for 3 bags and 8 drinks, the cost is:

C(3,8) = 3.35(3) + 4(8) = $42.05.

More can be learned about proportional relationships at https://brainly.com/question/10424180

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