a cran apple juice blend is mixed in a ratio of cranberry to apple of 3 to 5 a. complete a table to show different amounts that are proportional. b. why are these quantaties proportional?

Respuesta :

a)  cranberry : apple
          3         :    5
          6         :   10
         12        :   20
         30        :   50
         33        :   55

b) These quantities are proportional because they are the same as 3/5 just doubled, tripled etc. For example, 3/5 is proportional to 6/10 because both the numbers were multiplied by the same number. In this case it's 2.
    

Answer:

a) 3:5, 6:10, 9:15.

b) The amount of apple is proportional to the amount of cranberry since there exists a constant number, 5/3, that when multiplied by any of the given measures for the amount of cranberry always produces the corresponding amount of apple. If the amount of cranberry is represented by , and the amount of apple is represented by , then each pair of quantities satisfies the equation = 5/3 x.  A similar true relationship could be derived by comparing the amount of cranberry to the amount of apple. In the case where is the amount of apple and is the amount of cranberry, the equation would be = 3/5 x.