Question

X varies directly as y . When x= 25, y= 15. Find y , when x = 155​

Answer 1

Answer:

620/3 or 206.67(approx)

Step-by-step explanation:

if x is varies directly as y

then x is proportional to y

= x= ky

25 = k × 15

then k= 15/25 = 3/4

if x= 155 then

155 = 3/4 ×y

= (155×4)/3 = y

= 206.67 or 620/3

the value of y = 620/3 or 206.67 (approx)

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Answer 2

Answer:

x varies directly as y. When x=25, y=15. Hence y=93 when x=155.

Step-by-step explanation:

x varies directly as y. When x=25, y=15. We have to find y when x=155. As we know x is directly proportional to y, the ratio between x and y is a constant.

That is when x=25 and y=15

 The ratio   $k=\dfrac{x}{y}=\dfrac{25}{15} =\dfrac{5}{3}$

Similarly, as x varies y also varies, but the ratio will be the constant k.

So we have to find y when x=155

This means the ratio $k=\dfrac{x}{y}=\dfrac{155}{y} =\dfrac{5}{3}$

       Therefore     $y=\dfrac{155\times 3}{5}=93$

Hence y=93 when x=155. This is the answer to the question. Thank you.