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The Problem:

Mrs. Ashe is planning to take her study group on a field trip to an amusement park. The regular cost is $55 per person. There is a party special that costs $46 per person with an additional $45 fee for a private room where students can eat lunch. Mrs. Ashe is trying to decide if she should use the regular price or the party special.


Part 1:

A) Write an equation in slope-intercept form (y=mx+b) to show the total cost of the regular price with x people, where x = number of students in the study group and y = the total cost. (50 points)


B) Write an equation in slope-intercept form (y=mx+b) to show the total cost of the party special with x people, where x = number of students in the study group and y = the total cost. (50 points)

Respuesta :

sqdancefan

Answer:

  • y = 55x
  • y = 46x +45

Step-by-step explanation:

A. The regular cost is 55 per person. Using the given variable definitions, that cost can be expressed as ...

  y = 55x

__

B. The party special cost is 46 per person, with an added fee of 45. That cost can be expressed as ...

  y = 46x +45

_____

As you know, the cost of a purchase is the product of the cost of an item and the number of items. Here, the cost of entry is the cost of the item of interest, and the number of persons needing entry is the number of items. The party special has the addition item of a private room, so its cost is added to the total for the party special.

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