(a) The model for the ratio of dressing and vegetables is the given by the equation
\(\rm\bold{ V = 2D}\)
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
\(\rm \dfrac{D}{V} = \dfrac{2}{4} = \dfrac{1}{2}\)
hence when D increases by 1 unit variable V increases by two units and hence we can write
\(\rm V = 2D.....(1)\)
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
\(\rm \dfrac{D}{V} = \dfrac{1}{2}\)
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