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Anastasy [175]
3 years ago
10

The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship b

etween 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
Mathematics
2 answers:
riadik2000 [5.3K]3 years ago
5 0

Step-by-step explanation:

i do not know  the answer but i rly need points plsl

castortr0y [4]3 years ago
3 0
 
<span>∵ There is a proportional relationship between the mass and the volume of the places of metal.
Let volume = v and mass = m
So, the relation between volume and mass will take the form:
        v = km
where k is constant and can be calculated as follow:
when m = </span><span>34.932 , and v = 4.1   ⇒⇒⇒ k = v/m = 0.117371
</span>when m = 47.712<span> , and v = 5.6   ⇒⇒⇒ k = v/m = </span>0.117371
when m = 61.344 , and v = 7.2   ⇒⇒⇒ k = v/m = <span>0.117371
when m = </span>99.684 , and v = 11.7  ⇒⇒⇒ k = v/m = <span>0.117371

∴ v = 0.117371 m
</span>
For  v =<span>15.3
∴ m = v/k = 15.3/0.117371 = 130.356 </span><span>gram

</span>The mass of a piece of this metal that has a volume of 15.3 cubic centimeters ≈ 130.4 gram (<span>round to the nearest tenth</span>)











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