Question
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  1. A company sells running shoes. If the price of a pair of shoes in dollars is , the
    company estimates that it will sell pairs of shoes.
    Write an expression that represents the revenue in dollars from selling running shoes
    if a pair of shoes is priced at dollars.

Ask by Powers Washington. in the United States
Mar 26,2025

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Answer

The revenue in dollars is .

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Extra Insights

To find the revenue, we multiply the price per pair of shoes by the number of pairs sold, which is given as . Thus, the revenue can be expressed as:
This quadratic expression beautifully encapsulates how pricing affects overall revenue!
Understanding the balance between price and quantity sold is crucial. For instance, if the price is set too high, sales drop, whereas a too-low price may not meet production costs. Analyzing this revenue function helps determine the best price point to maximize profits, often done by finding the vertex of the parabola in the quadratic equation.

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