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Igoryamba
3 years ago
7

Is answer 3 the right answer if not explain Why

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0
Answer:   No.  
_______________________________________________________
        In the figure attached,  "Answer choice: # [3], which is:
 "$13,287.46 ", is INCORRECT.  The correct answer is:  
___________________________________________________
              Answer choice #[1]:  " $2,932 .24 " .  
____________________________________________________
             {NOT:  "Answer choice: #[3]:  "$13,287. 46 ".}.
_____________________________________

    Explanation: 

_________________________________________
    For "Number 11" (in the figure attached):
__________________________________________
     Given: " v(x) = (28,000)(0.78)ˣ " ;
________________________________ 
     To get the answer: 
________________________________
   The question asks:  "How much MORE is Glen's car worth AFTER 3 (THREE) YEARS than AFTER 4 (FOUR) YEARS"?
____________________________________________
   →Note well:  The car is worth MORE after THREE (3) years than after             FOUR (4) YEARS.  Does this makes sense?  Yes!  (
→ (Concept known as "devaluation"; or, "depreciation").
__________________________________________
     Also, look at the entire function:
__________________________________________
        Given:  v(x) = (28,000)(0.78)ˣ  ;
__________________________________________
      Since this involves a "fraction" less than one, raise to an exponent, does it make sense that "v(x)" will be a greater value when "x = 3" (i.e. "3 years") than when "x = 4" (i.e. "4 years")?  Yes!
__________________________________________
  So, to get our answer:
__________________________________________
We subtract:
__________________________________________
  "(28,000)(0.78)⁴ " (the lower value).
____________________
FROM:
____________________________
  "(28,000)(0.78)³ " (the higher value).
___________________________________
Let us let:  "(28,000)" = x ; 
 
and let: (0.78) = y ;
____________________________________

xy³ − xy⁴ =

 xy³(1 − y) =
 
(28,000)*(0.78)³ * [(1− (0.78)] =

(28,000)*(0.474552)*(0.22) =
______________________________________________ 
$ 2923.24032 ; which corresponds with:
______________________________________________
Answer choice #[1]:  $2,932.24 .  
______________________________________________
{NOT:  "Answer choice:  #[3]:  "$13,287.46" }.
______________________________________________

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