Mandy works construction. she knows that a 5 meter long metal bar has a mass of 40 kg. mandy wants to figure out the mass (w) of a bar made out of the same metal that is just 3 meters long and the same thickness. which proportion could mandy use to model out this situation? a: 40/3=w/5 b: 5/3=40/w solve the proportion to determine the mass of the shorter bar.

B)

The mass of shorter bar = 24 kg

Step-by-step explanation:

We assume that the mass of the metal bar is directly proportional to its length.

We know that the equation to shows direct variation between two quantities is given by :-

Given : Mandy works construction. She knows that a 5 meter long metal bar has a mass of 40 kg.

Mandy wants to figure out the mass (w) of a bar made out of the same metal that is just 3 meters long and the same thickness.

For the given situation the direct variation equation will be :-

It can also be written as :

When we solve this , we get

Hence, the mass of shorter bar = 24 kg