Final answer:
Using the given linear model for the electronics retailer, you can predict that the sales would be $250,120 on day 60 and $324,520 on day 90 by substituting the day value into the model. Quadratic equations similar to the one provided are solved using the quadratic formula by substituting the appropriate values for a, b, and c.
Step-by-step explanation:
When analyzing the function s(x)=0.6x³ -10.2x² +32.4x+127.2, it's important to understand that this represents a cubic equation often used in real-world applications like modeling the revenue over time. For the exercises given in the reference, we are dealing with the prediction of sales and the quadratic formula.
To predict the sales on day 60 using the linear model provided (ŷ = 101.32 + 2.48x), we simply substitute x with 60.
Sales on day 60: ŷ = 101.32 + (2.48 × 60) = 101.32 + 148.8 = 250.12 thousand dollars.
To predict sales on day 90: ŷ = 101.32 + (2.48 × 90) = 101.32 + 223.2 = 324.52 thousand dollars.
For the quadratic equation, x² + 1.2 x 10^-2x - 6.0 × 10^-3 = 0, we simply apply the quadratic formula: x = [-b ± √(b² - 4ac)] / (2a). Replace a, b, and c with the relevant coefficients to solve for x.