Question

URGENT! PLEASE HELPA 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 90 cents will drive away too many customers. On average, he sells 120 pretzels a day at a price of $2.40 per pretzel. How many pretzels can he expect to sell if the price is increased by 90 cents? Round your answer to the nearest integer if necessary.

Answer 1

The pretzel vendor, as per the inverse relationship between price and sales, can expect to sell approximately 87 pretzels after increasing the price by 90 cents from $2.40 to $3.30.

Step-by-step explanation:

To determine how many pretzels the vendor can expect to sell after increasing the price by 90 cents, we need to use the concept of inverse proportionality. Since the number of pretzels sold is inversely proportional to the price, we can set up a direct proportion using the given average sales and the price the vendor currently charges:

Price * Number of Pretzels Sold = Constant

$2.40 * 120 pretzels = $288

Now, we have to determine the expected sales at the new price:

New Price = $2.40 + $0.90 = $3.30

Using the constant value ($288), we can find the expected number of pretzels sold:

$3.30 * Number of Pretzels = $288

Number of Pretzels = $288 / $3.30

Number of Pretzels = 87.27

Since the vendor cannot sell a fraction of a pretzel, we round this to the nearest whole number, which is 87 pretzels.