SOLUTION: PROBLEM 23---BUSINESS APPLICATION
THE YEARLY SPENDING (IN BILLIONS OF DOLLARS) BY US ADVERTISERS TO PROMOTE PRODUCTS TO LATINOS IS SHOWN IN THE TABLE:::***
YEAR | S
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-> SOLUTION: PROBLEM 23---BUSINESS APPLICATION
THE YEARLY SPENDING (IN BILLIONS OF DOLLARS) BY US ADVERTISERS TO PROMOTE PRODUCTS TO LATINOS IS SHOWN IN THE TABLE:::***
YEAR | S
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Question 78140This question is from textbook MATHEMATICS: APPLICATIONS
: PROBLEM 23---BUSINESS APPLICATION
THE YEARLY SPENDING (IN BILLIONS OF DOLLARS) BY US ADVERTISERS TO PROMOTE PRODUCTS TO LATINOS IS SHOWN IN THE TABLE:::***
YEAR | SPENDING
______|____________
2000 | 2.1
2001 | 2.2
2002 | 2.5
2003 | 2.8
2004 | 3.1
(A) LET X = 0 CORRESPOND TO 2000. USE (0, 2.1) AS THE VERTEX AND THE DATA FROM 2004 TO FIND THE QUADRATIC FUNCTION g (x) = a( x-h)2 (**note: the 2 here is an exponet 2)+ k that models this data.
(B) USE THE MODEL TO ESTIMATE ADVERTISER'S SPENDING IN 2006 AND 2008.
***NOTE: I WANT TO CLARIFY THAT I COULDN'T WRITE QUADRATIC EXPRESSION WITH THE APPROPIATE OR CORRECT SYMBOLS IN THE SPACE PROVIDED BECAUSE THE SCREEN DOESN'T LET CUT & PASTE OR EDIT LIKE A WORD PROCESSOR, ETC..(EX. THE NUMBER 2 AFTER THE a(X-h) PARENTHESIS AN EXPONENT AND NOT A WHOLE NUMBER. THANK YOU This question is from textbook MATHEMATICS: APPLICATIONS
You can put this solution on YOUR website! YEAR | SPENDING
______|____________
2000 | 2.1
2001 | 2.2
2002 | 2.5
2003 | 2.8
2004 | 3.1
(A) LET X = 0 CORRESPOND TO 2000. USE (0, 2.1) AS THE VERTEX AND THE DATA FROM 2004 TO FIND THE QUADRATIC FUNCTION g (x) = a( x-h)2 (**note: the 2 here is an exponent 2)+ k that models this data.
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Using the Quadratic Ression program on a TI calculator I get
this quadratic equation: spending = 0.0285714286(year)^2+0.1457142857(year)+
2.077142857
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(B) USE THE MODEL TO ESTIMATE ADVERTISER'S SPENDING IN 2006 AND 2008
The spending in 2006 is 3.98
The spending in 2008 is 5.0714
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Cheers,
Stan H.