Answer: [tex]3\ kilograms[/tex]
Step-by-step explanation:
It is important to remember that, by definition, proportional relationships have the following form:
[tex]y=kx[/tex]
Where "k" is the constant of proportionality.
We know that Maddy assume that the relation between the volume and the weight is proportional.
Then, let be "V" the volume in liters and "w" the weight in kilograms.
We can write the following equation:
[tex]V=kw[/tex]
So, if the boat of 555 liters weights 7.5 kilograms, we can find "k":
[tex]555 =k(7)\\\\k=\frac{555}{7}\\\\k=74[/tex]
In order to solve the exercise, substitute the value of "k" and [tex]V=222[/tex] into the equation and solve for "w". Then:
[tex]222=(74)w\\\\\frac{222}{74}=w\\\\w=3[/tex]
Debemos obtener la densidad de la bebida para deportistas, con esto veremos que el peso de un bote de 2 litros es 3 kilogramos.
Sabemos que un bote de 5 litros, pesa 7.5 kilogramos.
Entonces la densidad de esta bebida será:
D = masa/volumen = (7.5 kg)/(5 L) = 1.5 kg/L
Entonces la masa de un volumen de 2 litros esta dado por:
masa = volumen*densidad = 2L*(1.5 kg/L) = 3 kg
El peso del bote de 2 litros es 3 kilogramos.
Sí quieres aprender más sobre densidad, puedes leer:
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