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kramer
3 years ago
10

Select the correct answer. The number of customers in a store during the midday hours of 10 a.m. to 5 p.m. can be modeled by thi

s function, where n is the number of customers t hours after 10 a.m. Rewrite the equation to reveal the minimum number of customers. At what time does that minimum occur? A. B. C. D.
Mathematics
1 answer:
cluponka [151]3 years ago
3 0

Answer:

The answer is D

Step-by-step explanation:

Just graph it.  It is actually quite easy once graphed.

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In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.

This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.

Hope this helps!

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