Set up the following scenarios as equations or inequalities and then solve for the desired quantity.
1) Sales, given in thousands, for a particular company in 1990 were at 140.5 and in 2000 at 180.5. Estimate the sales for the years 1997 and 2003. Let x = 0 correspond to 1990. Using the distance formula, find the approximate distance between the values in 1997 and 2003. Explain the difference between using the distance formula and simply subtracting the 2 estimated values.
2) An individual is trying to ensure that he or she earns an A (90%) in a particular college course. Assume all grades thus far are weighted equally. The grades for the course are 88, 92, 83, 76. All that is left is a final exam that counts as two grades. What grade is needed to ensure the student makes an A in the course?
3) A printing company charges $15.00 per order plus $0.10 per page for printing flyers. A second company charges $12.00 per order plus $0.15 per page. Find the equilibrium point, and explain what this point means in the context of the data.
This solution shows step-by-step calculations to determine the intersection of two lines for each scenario. All workings and formulas are shown with explanations.