Solve. The polynomial \( 0.65 x-62 \) models the relationship between the number of pretzels \( x \) that a certain vendor sells and the profit the vendor makes. Find the profit the vendor makes from selling 700 pretzels. \( \$ 638.00 \) \( \$ 393.00 \) \( -\$ 55.50 \) \( \$ 455.00 \)

To find the profit from selling 700 pretzels, substitute \( x = 700 \) into the polynomial \( 0.65x - 62 \): \[ \text{Profit} = 0.65(700) - 62 \] \[ = 455 - 62 \] \[ = 393 \] So, the profit the vendor makes from selling 700 pretzels is \( \$ 393.00 \). --- Did you know that the concept of profit margins has been around for centuries? In medieval markets, vendors would set their prices based on what they believed to be a fair profit, often influenced by supply and demand dynamics! This practice evolved over time and laid the groundwork for modern economics. If you're ever in a situation where you're unsure how to calculate profit, remember to focus on your fixed costs and variable earnings carefully. A common mistake is forgetting to consider all expenses or miscalculating the cost per item sold, which can lead to wildly inaccurate profit assumptions. Always double-check your figures for the best financial decisions!