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A catering company charges a $500 setup plus $10 per person, so total cost y can be written as y = 500 + 10x, where x is the number of people. What is the cost for 100 people, and for 200 people?

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As stated in the question, the total cost, y, can be noted as y = 10x + 500, where x represents the number of people. To find the cost for 100 people, we must plug 100 in for x:

y = 10(100) + 500

⇒ 1,000 + 500

= 1,500

Hence, we find that the total cost for 100 people is $1,500.

To find the cost for 200 people, we plug in 200 for x:

y = 10(200) + 500

⇒ 2,000 + 500

= 2,500

Therefore, the cost for 100 people is $1,500, and the cost for 200 people is $2,500.