Respuesta :
The two quantities x and y, are directly proportional. If x is doubled, then value of y will also be doubled.
Define the term directly proportional?
If two quantities become directly proportional, it indicates that if one increases by a specific percentage, the other also increases by the same percentage.
- The relationship between two values where their ratio equals a constant number is known as a direct proportion and direct variation. It is symbolized by the proportional sign (∝).
- Since the other variable is reversed in this case, the inversely proportional relationship is really represented by the same symbol.
For the given situation;
x and y are in the direct proportional relation.
Thus,
x ∝ y
Thus,
x = k y
k = proportionality constant.
Thus,
multiplying both side by 2
2 x = 2 k y
Y also becomes twice .
If x is multiplied by 4 then,
4 x = 4 k y
y also get 4 times.
Thus, if x is doubled, then value of y will also be doubled and if x get 4 timed y also become 4 times.
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