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5 votes
If y varies inversely as x and y=7 when x=−4, find y when x=2.

Equation: ________

Solution: y = _____________

User Workwise
by
7.6k points

1 Answer

4 votes

Answer:

Step-by-step explanation:

The statement is expressed as

y

1

x

inverse means

1

variable

To convert to an equation introduce k, the constant of variation.

y

=

k

×

1

x

y

=

k

x

To find k use the given condition that y = 8 when x = 4

8

=

k

4

k

=

4

×

8

=

32

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

y

=

32

x

2

2

−−−−−−−−−−−−

x

=

16

y

=

32

16

y

=

2

when

x

=

16

User Bousof
by
8.6k points

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