SOLUTION: carol notices that the number of customers who visit her coffee shop varies inversely with the average daily temperature. yesturday the average temperature was 40 degrees and she h

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Question 218473: carol notices that the number of customers who visit her coffee shop varies inversely with the average daily temperature. yesturday the average temperature was 40 degrees and she had 160 customers. if today's average temperature is 25 degrees how many customers should she expect?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let C = the number of customers and T = the average temperature. The equation of variation can be written as:
C+=+k%2FT To find the value of k, the contant of variation, substitute C = 160 and T = 40.
160+=+k%2F40 Multiply both sides by 40.
6400+=+k%7D%7D+so+you+can+write%3A%0D%0A%7B%7B%7BC+=+6400%2FT Now substitute T = 25 for today's average temperature.
C+=+6400%2F25 Evaluate.
highlight%28C+=+256%29
Carol can expect 256 customers.