Question

→ Enter a formula using k to connect the two variables. y is proportional to x³

Answer 1

Directly proportional to x.

What is propotionality?

• In algebra, proportionality is the equality of two ratios.
• A and B are in the same ratio as C and D in the formula a/b = c/d.
• When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem.
• By multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator, the equation can be solved.
• Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.

Acc to our question-

• If two variables' ratios (yx)
• (x and y) have the same value as a constant (k=yx)
• therefore the ratio's variable (y) in the numerator is the sum of the other variable and the constant (y=k:x).
• With a proportionality constant of k, it is claimed that y is directly proportional to x in this instance.

Hence,Directly proportional to x.

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