If there is direct variation and y=75 when x=25, find x when y=48.


A. x=16

B. x=10

C. x=12

D. x=14

Answers

Answer 1
x = ky where k is a constant

first u find k so :
25 = k * 75
25/75 = k
k = 1/3

now when y = 48 just substitute the values
x = ky
x = 1/3 * 48
x = 16

the answer is A) x=16
Answer 2

If there is direct variation and y=75 when x=25,when y=48 X = 16. Therefore, option A is correct.

What is direct variation ?

link between two variables that can be described mathematically by an equation where one variable equals a constant multiplied by the other. For instance, the constant of variation is k = = 3 if y varies straight as x and y = 6 when x = 2. Consequently, y = 3x is the equation that describes this direct variation.

When x is not equal to zero, an equation of the form y = kx describes the linear function known as direct variation. When x is not equal to zero and k is a nonzero real number constant, the equation of the form xy = k describes the nonlinear function known as inverse variation.

x = ky

where k is constant

25 = k × 75

25 / 75 = k

k = 1 / 3

now when y = 48 then substitute the values

x = ky

x = 1 ÷ 3 × 48

x = 16

Thus, option A is correct.

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