The number of customers for a new online business can be modeled by \( y=6 x^{2}+75 x+200 \), where \( x \) represents the number of months since the business started. Which is the best prediction for the number of customers in month 25 ? A. 3791 B. 5825 C. 4754 D. 2936

To predict the number of customers in month 25, you can plug \( x = 25 \) into the given equation: \[ y = 6(25)^2 + 75(25) + 200 \] Calculating each part: - \( 6(25)^2 = 6(625) = 3750 \) - \( 75(25) = 1875 \) - Adding them up: \( 3750 + 1875 + 200 = 5825 \) So the best prediction for the number of customers in month 25 is B. 5825! As you watch small businesses grow, it's fascinating to see how their customer base expands! Many brands use similar quadratic models to project future performance based on initial data. This formula allows new entrepreneurs to strategize effectively and capitalize on growth trends. Isn't it exciting to think about how numbers can drive business decisions? If you're keen on business math, consider exploring more about market analysis techniques! Books like "The Lean Startup" and resources on data-driven decision-making can enrich your understanding of this field. They not only cover theory but also real-world examples that bring those equations to life! Plus, gaining insights from successful entrepreneurs can inspire your own ventures.