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.