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Amazing Race week 6

Amazing Race week 6. By: Brantley and Antonio . The sales per share for Google (GOOG) was $120 in 2004 and $580 in 2008 . Write a linear equation that gives the sales per share in terms of the year. Let x be the years since 2000 . Problem #1. #1. 580-120/2008-2004 = 460/4

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Amazing Race week 6

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  1. Amazing Race week 6 By: Brantley and Antonio

  2. The sales per share for Google (GOOG) was $120 in 2004 and $580 in 2008. Write a linear equation that gives the sales per share in terms of the year. Let x be the years since 2000. Problem #1

  3. #1 580-120/2008-2004 = 460/4 = 115 What is the slope of the line? Interpret within the context of the problem.

  4. #2 y-120=115(x-4) y-120=115x-460 y=115x-340 y-intercept = -340 Yes, the y-intercept make since because it is between the two prices $120 and $580 What is the y-intercept? Interpret within the context of the problem. Does it make sense? Why or why not?

  5. #3 $1,155; The line overestimated the actual price. The reason as to why the two didn’t match is because the stock chart changes over time and never stays the same. What is the predicted price per share for Google in 2013? Today (in 2013) the price per share is $857. Did your line over or under estimate that actual price? Why do you think this happened?

  6. #4 If you wanted to translate your graph up 20 units, how would you write that equation? Interpret this translation within the context of the problem. Is the new line parallel to the old line? How do you know for certain that the new line is or is not parallel? y = (115x-340)+20; Yes the new line is parallel to the old line because it only translated up 20 units

  7. #5 y=115x-338; Yes the new line is parallel to the old line because the new line only translated 2 units to the left If you wanted to translate your graph left 2 units, how would you write that equation? Interpret this translation within the context of the problem. Is the new line parallel to the old line? How do you know for certain that the new line is or is not parallel?

  8. Since you are about to start your new job, you reward yourself with a 2013 BMW M5. After opting for the luxury package and hassling with the dealer you settle on a purchase price of $76,857. Lucky for you, the dealer offers you two promotions. One is a 10% dealer discount and the other is a $6000 factory rebate. The only problem is he lets YOU decide the order to apply these promotions. Do you opt for the dealer discount followed by the factory rebate, or do you opt for the factory rebate followed by the dealer discount? Problem #2

  9. 10%, then rebate ($76,857)x(0.1) = $7,685.70 ($76,857 – ($7,685.70) = $69,171.30 ($69,171.30) – ($6,000) = $63,171.30 ($76,857) – ($6000) = $70, 857 ($70,857 )x(0.1) = $7,085 ($70,857) - ($7,085) = $63,771.30 Rebate, then 10% Given the calculations, we can see that by taking the 10% discount and then the $6,000 rebate, you will save $600

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