Question

The efficiency coefficient y of a machine varies directly as the power of a variable quantity x. Find a formula between x and y, using the following data : x=2, y=8.8 and x=3, y=29.7

Answer 1

Step-by-step explanation:

9th

Maths

Linear Equations in Two Variable

Solution of Linear Equations in Two Variables

Suppose y varies as the sum...

MATHS

Suppose y varies as the sum of two quantities of which one varies directly as x and the other varies inversely as x. If y=6 when x=4 and y=

3

10

when x=3, then find the relation between x and y.

MEDIUM

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ANSWER

yαx & yα

x

1

⇒

y=ax+

x

b

if y=6 when x=4

⇒6=4a+

4

b

⇒

16a+b=24

...(1)

& y=10/3 when x=3

⇒

3

10

=3a+

3

b

⇒

9a+b=10

...(2)

Solving (1) & (2) we get ((1)-(2))

7a=14⇒

a=2

∴

b=−8

Hence

y=2x−

x

8