Mathematics

Question

1. A catering company’s recipe for salad uses a ratio of 2 c of dressing to 4 lb of vegetables. (a) Draw a model for the ratio. (b) Write the ratio of dressing to vegetables as a reduced fraction. Answer:

2 Answer

  • 1. ratio = 2 c of dressing / 4 lb of vegetables

    Use two variables: d for the number of c of dressing and v for the number of pounds of vegetables.

    Then d / v = 2/4 = 1/2 => d = v/2

    Now you can make a table

    v     d  

    2    1

    4    2

    6    3

    8    2

    And you can draw a line for the points (2,1); (4,2); (6,3), (8,4) ... the slope of the graph is the ratio = 1/2

    b) I already did it above as part ot the explanation: d/v = 1/2
  • (a) The model for the ratio of dressing and vegetables is the given by the equation  

    [tex]\rm\bold{ V = 2D}[/tex]

    A catering company’s recipe for salad uses a ratio of 2 c of dressing 4 lb of vegetables.

    (a) We have to draw a model for the ratio.

    (b) We have to write the ratio of dressing to vegetables as a reduced fraction.

    Dressing = 2c

    Vegetables = 4lb

    The ratio of both is formulated as 2c : 4lb

    (a)  Let us consider dressing is represented by D and amount of vegetables is represented by V then we can say that

    [tex]\rm \dfrac{D}{V} = \dfrac{2}{4} = \dfrac{1}{2}[/tex]

    hence when D increases by 1 unit variable V increases by two units and hence we can write

    [tex]\rm V = 2D.....(1)[/tex]

    The V and D values are shown in the table below

    V    D

    1     2

    2    4

    3    6

    Equation (1) represents the model for the given situation.

    (b) The ratio of dressing to vegetables as a reduced fraction is given by

    [tex]\rm \dfrac{D}{V} = \dfrac{1}{2}[/tex]

    For more information please refer to the link below

    https://brainly.com/question/18956877

NEWS TODAY