SOLUTION: A pretzel vendor has determined that the number of pretzels he sells per day is inversely proportional to the price he charges. The vendor wants to decide if increasing his price b
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Question 1185710: A pretzel vendor has determined that the number of pretzels he sells per day is inversely proportional to the price he charges. The vendor wants to decide if increasing his price by 60 cents will drive away too many customers. On average, he sells 165 pretzels a day at a price of $1.75 per pretzel. How many pretzels can he expect to sell if the price is increased by 60 cents? Round your answer to the nearest integer if necessary.
The current cost is $1.75; the proposed new cost is $1.75+$0.60 = $2.35.
Inversely proportional means the fractional decrease in the number of pretzels sold is the same as the fractional increase in the price. So the number of pretzels he can sell for $2.35 is
(165)*(1.75/2.35) = 122.87...
That number should be rounded down to the nearest integer:
