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11. a parent is planning a party for a graduation at a local rec center…

Question

  1. a parent is planning a party for a graduation at a local rec center. the flat fee to rent the facility is $600 and it costs $15 per person. if the budget is $2000, how many people can they invite?

Explanation:

Step1: Define total cost equation

Let $x$ = number of people. Total cost: $C = 600 + 15x$

Step2: Set cost equal to budget

$600 + 15x = 2000$

Step3: Isolate the variable term

$15x = 2000 - 600$
$15x = 1400$

Step4: Solve for $x$

$x = \frac{1400}{15} \approx 93.33$
Since partial people are not allowed, we take the whole number part.

Answer:

93 people