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Maddy is carrying a 5 liter jug of sports drink that weighs
7.5kg. 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.
What is the weight of the 2 liter jug?

kg

Maddy is carrying a $5$ liter jug of sports drink that weighs $7.5 \mathrm{~kg}$ . 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. $\newline$ What is the weight of the $2$ liter jug? $\newline$ $\mathrm{kg}$

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Evaluate a linear function: word problems

Full solution

Q. Maddy is carrying a

5

liter jug of sports drink that weighs

7.5 \mathrm{~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.

\newline

What is the weight of the

2

liter jug?

\newline

\mathrm{kg}

Establish Proportion: First, we need to establish the proportion between the volume of the sports drink and its weight. We know that a $5$ liter jug weighs $7.5$ kg. We can write this as a ratio: weight/volume = $\frac{7.5 \, \text{kg}}{5 \, \text{liters}}$ .
Simplify Ratio: Next, we simplify this ratio to find the weight of $1$ liter of the sports drink. To do this, we divide the weight by the volume: $\frac{7.5 \, \text{kg}}{5 \, \text{liters}} = 1.5 \, \text{kg/liter}$ .
Calculate Weight per Liter: Now that we know the weight of $1$ liter of the sports drink, we can find the weight of a $2$ liter jug by multiplying the weight per liter by $2$ liters: $1.5 \, \text{kg/liter} \times 2 \, \text{liters} = 3 \, \text{kg}$ .
Find Weight of $2$ Liter Jug: We have now calculated the weight of the $2$ liter jug of sports drink based on the assumption that the relationship between volume and weight is proportional. The weight of the $2$ liter jug is $3$ kg.

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