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Maddy is carrying a 5 liter jug of sports drink that weighs 7.5 kg. She wants to know how many kilograms a 2 liter jug of sports drink would weigh (w). She assumes the relationship between volume and weight is proportional.

Which proportion could Maddy use to model this situation?

a. w/2 = 7.5/5

b. w/7.5 = 5/2

Solve the proportion to determine the weight of a 2 liter jug.

_____kg

Respuesta :

Answer

The Maddy uses the proportion for this situation be (a) .

[tex]\frac{w}{2} = \frac{7.5}{5}[/tex]

Reason

Let us assume that the  weigh of a 2 liter jug of sports drink  be x .

As given

Maddy is carrying a 5 liter jug of sports drink that weighs 7.5 kg.

She have a 2 liter jug of sports drink .

Than

5 liter = 7.5 kg.

[tex]1litre = \frac{7.5}{5}\ kg[/tex]

Now for the 2 liter jug of sports drink  .

Than  equation becomes

[tex]w =\frac{2\times 7.5}{5}[/tex]

Or written as

[tex]\frac{w}{2} = \frac{7.5}{5}[/tex]

solving

[tex]w = \frac{15}{5}[/tex]

w = 3 kg

Therefore  3 kilograms a 2 liter jug of sports drink would weigh .

Option (a) is used .





JeanaShupp

Answer:

a.[tex]\frac{w}{2}=\frac{7.5}{5}[/tex]

The weight of a 2 liter jug. = 3 kg

Step-by-step explanation:

Given: The weight of 5 liter jug of sports drink = 7.5 kg

Let w be the weight of 2 liter jug.

Since,  she assumes the relationship between volume and weight is proportional.

Then, by direct proportion, we have

[tex]\frac{\text{Weight of 2 liter jug}}{\text{2}}=\frac{\text{weight of 5 liter jug}}{5}\\\\\Rightarrow\frac{w}{2}=\frac{7.5}{5}[/tex]

Hence, Maddy use the proportion: [tex]\frac{w}{2}=\frac{7.5}{5}[/tex]

When we multiply 2 on both sides, we get

[tex]w=\frac{7.5\times2}{5}=3[/tex]

Hence, the weight of a 2 liter jug = 3 kg

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