Question

PLEASE ANSWER FAST!!

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

Answer 1

a.
`(w)/(2)=(7.5)/(5)`

The weight of a 2 liter jug. = 3 kg

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

`\frac{\text{Weight of 2 liter jug}}{\text{2}}=\frac{\text{weight of 5 liter jug}}{5}\\\\\Rightarrow(w)/(2)=(7.5)/(5)`

Hence, Maddy use the proportion:
`(w)/(2)=(7.5)/(5)`

When we multiply 2 on both sides, we get

`w=(7.5*2)/(5)=3`

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

Answer 2

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

`(w)/(2) = (7.5)/(5)`

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.

`1litre = (7.5)/(5)\ kg`

Now for the 2 liter jug of sports drink .

Than equation becomes

`w =(2* 7.5)/(5)`

Or written as

`(w)/(2) = (7.5)/(5)`

solving

`w = (15)/(5)`

w = 3 kg

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

Option (a) is used .