Digital SAT Math Test 6 Question 10

To rent a conference room for a group of 100 or more, a complex building charges \$15 per person for the first 100 people and \$17 for each additional attendee. Which function $C$ gives the total cost to rent a conference room, in dollars, for a group of $n$ number of participants, where $n\geq100$?
Answer:
C

Explanation

The correct answer is Choice C.

Divide the group into the first 100 and the rest, $n-100$.

Choices A and B are incorrect and may have mixed the two different rates for two different groups.

Choice D is incorrect because the equation disregards the point that first 100 people is charged $15.

✨ Expert's Tip ✨

When given two different rates, divide the group into two groups and find the total charge.

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