the table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship between the mass and the volume of the places of metal.

34.932 4.1
47.712 5.6
61.344 7.2
99.684 11.7

Determine the mass, in grams, of a piece of this metal that has a volume of 15.3 cubic centimeters. round your answer to the nearest tenth of a gram

The mass will be 130.356 grams.

If you divide all of the values in the tables, you will see that the number of grams is being multiplied by 8.52 each time.

There just take the weight in grams and multiply by 8.52.
15.3 x 8.52 = 130.356

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akposevictor akposevictor · Answer 2 · 2022-01-04T13:59:30+01:00

Given that the mass and volume of the pieces of metal are in a proportional relationship, therefore the mass of a metal with a volume of 15.3 cubic cm, to the nearest tenth is: 130.3 grams.

Recall:

Equation that models a proportional relationship between two variables x and y is expressed as: y = kx, where k is the constant of proportionality.

Constant of proportionality, k = y/x.

First, let's find the constant of proportionality, k, if volume = y and mass = x.

Using (34.932, 4.1):

k = 4.1/34.932 = 0.1174

The equation that models the proportional relationship is, y = 0.1174x

To find the mass (x) of a piece of the metal with a volume of 15.3 cubic cm, substitute y = 15.3 into y = 0.1174x.

Thus:

15.3 = 0.1174x

Divide both sides by 0.1174

15.3/0.1174 = x

x = 130.3 grams (nearest tenth)

Therefore, given that the mass and volume of the pieces of metal are in a proportional relationship, therefore the mass of a metal with a volume of 15.3 cubic cm, to the nearest tenth is: 130.3 grams.

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