Question

Maddy lleva un bote con bebida para deportistas; el bote de 5 55 litros pesa 7 , 5 kg 7,5 kg7, comma, 5, start text, space, k, g, end text. Ella quiere saber cuántos kilogramos ( w ) (w)left parenthesis, w, right parenthesis pesará un bote de 2 22 litros. Ella supone que la relación entre volumen y peso es proporcional. ¿Cuál es el peso de un bote de 2 22 litros?

Answer 1

Answer: $3\ kilograms$

Step-by-step explanation:

It is important to remember that, by definition, proportional relationships have the following form:

$y=kx$

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:

$V=kw$

 So, if the boat of 555 liters weights 7.5 kilograms, we can find "k":

$555 =k(7)\\\\k=\frac{555}{7}\\\\k=74$

In order to solve the exercise, substitute the value of "k" and $V=222$ into the equation and solve for "w". Then:

$222=(74)w\\\\\frac{222}{74}=w\\\\w=3$