Bill Gates Cares about Profits in Indianapolis

Bill Gates Cares about Profits in Indianapolis

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Storyboard Description

Describing question eight

Storyboard Text

  • My piece wise function will be f(x)={4ax2 +7, x less than/ equal to 5 -6ax-383, x greater than 5}
  • I am Bill Gates and I care about my company's profit margins in Indianapolis. I need to find what value will have to charge, on our computers in order to keep a constant, exponential increase in profit. 
  •  I will use the Continuity of Functions with one variable piece wise function. 
  • To solve this problem I will set the two functions equal to each other and plug in 5 for x. 
  • This will give me 4ax25+7=-6ax5-383
  • Now I will and multiply out to get 100a +7=-30a-383
  • Moving like terms to the same side, I'll get 130a=-390. I must divide -390 by 130 to get -3. 
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