Answered

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Sam owns a catering business. For any party with up to 200 guests, he charges $ 4000. For each additional guest over 200 he charges $ 15 per person.

Give a formula for the cost in dollars C of having Sam cater your party as a function of p of number of guests over 200.

Sagot :

   Linear function is represented by the equation f(x) = mx + b

Where, m = rate of change and b = Initial quantity

  Function representing the total amount spent will be P(x) = 15x + 4000

Points to focus upon,

  • Sam charges fixed charges $4000 for 200 guests.
  • In addition to it $15 per person over 200 guests.

Let the number of guests over 200 are 'x'.

Therefore, amount of money spent on 'x' guests = $15x

And the number of guests in the party = 200 + x

Total amount spent on (200 + x) guests = $(4000 + 15x)

       If P(x) represents the total amount spent, function for the total expenditure will be,

P(x) = (4000 + 15x)

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