SOLUTION: A marketing firm spent \$12,400 in advertisements in January for Alexa's used car emporium. February sales at Alex's were \$341,000. In August, the firm spent \$8,600 on advertisement

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: A marketing firm spent \$12,400 in advertisements in January for Alexa's used car emporium. February sales at Alex's were \$341,000. In August, the firm spent \$8,600 on advertisement      Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Question 30503: A marketing firm spent \$12,400 in advertisements in January for Alexa's used car emporium. February sales at Alex's were \$341,000. In August, the firm spent \$8,600 on advertisements, and sales in the following month were \$265,000. a. write a linear equation relating the amount spent on advertisement x with sales in the following month y. write your answer in slope- intercept form. b. use the equation found in part a to predict the sales amount if 10,000 is spent on advertisements in the previous month.Answer by mathtech5(4)   (Show Source): You can put this solution on YOUR website!Set up the points: (12,400 , 341,000) and (86,000 , 265,000) Find the slope: (y2 - y1)/ (x2 - x1) (265000-341000) / (86000-12400) = 20 Use the equation y=mx+b: y = 20x + b Put a point in for x and y: 265000 = 20(8600) + b Now solve for b: 265000=172000 + b Subtract 172000 from both sides to get: 93000 = b The equation would be : y = 20x + 93,000 To predict the sales when 10,000 is spent on advertisements, substitute 10,000 in for x: y = 20(10000) + 93000 = 293000 The predicted sales would be: \$293,000