Question

if y is directly proportional to 1/x and x=2 when y=20, what is the the value of x when y= 1.25?​

Answer 1

Answer:

Step-by-step explanation:

y is directly proportional to 1/x

xy=k (where k is constant)

so,

for x=2 and y=20

k=xy

k=2×20

k=40-(1)

now,

for y=1.25

k=xy

k=x×1.25

k=1.25x-(2)

from equation (1) & (2)

40=1.25x

40/1.25=x

x=32

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Answer 2

Answer:

x = 32

Step-by-step explanation:

Given,

y is directly proportional to 1/x

xy = k (where k is constant)

so,

for x = 2 and y = 20

k = xy

k = 2×20

k = 40 .....(1)

now,

for y = 1.25

k = xy

k = x × 1.25

k = 1.25x .....(2)

from equation (1) & (2)

40 = 1.25x

40/1.25=x

x = 32

Hence, x = 32