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Solving Systems of Equations

Solving Systems of Equations. By: Elizabeth F. December 18, 2003 2 nd Period. What's this all about?. Visual Arts/Communication Media Tech Radio Advertisement Pricing. The Problem.

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Solving Systems of Equations

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  1. Solving Systems of Equations By: Elizabeth F. December 18, 2003 2nd Period

  2. What's this all about? • Visual Arts/Communication • Media Tech • Radio Advertisement Pricing

  3. The Problem Layne wants to purchase 3 radio ads that will air for 2 days. Radio Station A asks for $25 per ad per day. Radio Station B costs $30 for the first ad and $15 for each ad following at the rate of $12 a day. How much does it cost to air 3 ads on Radio Station A for 2 days, compared to how much it costs to run the same ads on Radio Station B?

  4. Ok, I have the information, now what do I do with it?

  5. What does the question ask? Layne wants to purchase 3 radio ads that will air for 2 days. Radio Station A asks for $25 per ad per day. Radio Station B costs $30 for the first ad and $15 for each ad following at the rate of $12 a day. How much does it cost to air 3 ads on Radio Station A for 2 days, compared to how much it costs to run the same ads on Radio Station B?

  6. Starting with the information provided, make an equation for Radio Station A. Radio Station A asks for $25 per ad, per day. 25a + 25d = t Total price for Radio Station A. Cost of ad Number of ads Number of days Price of each day

  7. Substitute and Solve • Layne wants to purchase 3 radio ads that will air for two days. • Radio Station A asks for $25 per ad per day. • 25a + 25d = t 25 (3) + 25(2) = t 75 + 50 = 125 The total for Radio Station A is $125.

  8. Now, the equation for Radio Station B. This one is a bit more complicated. Radio Station B costs $30 for the first ad and $15 for each ad following at the rate of $12 a day. 30 + 15a +12d = t Total price for Radio Station B Price for the first Ad Price for each additional Ad Price per day Number of additional Ads Number of days

  9. Substitute & Solve Radio Station B costs $30 for the first ad and $15 for each ad following at the rate of $12 a day. 30 + 15a +12d = t 30+15(2)+12(2)=t 30+30+24=84 The total cost for radio station B is $84

  10. Conclusion Layne should pick Radio Station B because, by solving systems of equations, the final cost comes out to $84, compared to Radio station A, at $125.

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