Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $7500 in 2007 and $56,500 in 2012. Let x = 0 represent 2007. Find the equation giving yearly sales y.
A) S(x) = 9800x + 56,500
B) S(x) = 9800x + 7500
C) S(x) = 49,000x + 56,500
D) S(x) = 49,000x + 7500

Question

Quizplus · Accepted Answer

To find the equation of the line, we first calculate the slope (m) using the given points (0, 7500) for the year 2007 and (5, 56500) for the year 2012. The slope m = (56500 - 7500) / (5 - 0) = 49000 / 5 = 9800. Using the point-slope form y - y1 = m(x - x1) with the point (0, 7500), we get y - 7500 = 9800x, which simplifies to y = 9800x + 7500.

Assume That the Sales of a Certain Appliance Dealer Are