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Blizzard [7]
3 years ago
10

hot dog buns are sold in packages of 8 and 12. taro bought 192 total buns for a party. This is represented by the function 8x +

12y = 192

Mathematics
1 answer:
Lelu [443]3 years ago
6 0
Here is the graphical representation of the function you provide.

You can see the the points in which the line intersects each axis.

Every point in the line is a possible option for which hot dog package was bought.

For example, Taro might have bought 0 of the packages of 8, and 16 packages of 12.

or He might've bought zero packages of 12, and 24 packages of 8.

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Answer:  The slope is:  "3" ; which does not appear among the                                   answer choices given.
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The slope, "m" is calculated as follows:
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Given two coordinates on a line; 

m = (y₂ − y₁) / (x₂ − x₁) ;
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We are given the following 2 (TWO) coordinates:
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 1)  (5,2) ; which is:  (x₁ ,y₁) ;  so x₁ = 5 ; y₁ = 2 ; AND:
 
 2)  (7,8);  which is:  (x₂ ,y₂) ;  so x₂ = 7; y₂ = 8 ;
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So;  m = (y₂ − y₁) / (x₂ − x₁) = (8−2) /.(7−5) = 6/2 = 3 .

m = 3.  The slope is: 3 ; which does not appear among the answer choices given.
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Alternately,
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We are given the following 2 (TWO) coordinates:
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 1)  (7,8) ; which is:  (x₁ ,y₁) ;  so x₁ = 7 ; y₁ = 8 ; AND:
 
 2)  (5,2);  which is:  (x₂ ,y₂) ;  so x₂ = 5; y₂ = 2 ;
______________________________________________
So;  m = (y₂ − y₁) / (x₂ − x₁) = (2−8) / (5−7) = -6/-2 = 3 .

m = 3.  The slope is 3 ; which does not appear among the answer choices given.
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Step-by-step explanation:

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