If y varies inversely as x and y = 10 when x = 20, find y when x = 6.
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If y varies inversely as x and y = 10 when x = 20, find y when x = 6.
Pasagot po asap
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THE ANSWER IS 8
Step-by-step explanation:
Set up an equation
x
=
1
y
substitute to find the constant
x
×
y
=
C
Then substitute again to find the new y
Explanation:
x
=
C
?
y
6
=
C
10
multiply both sides by 10
6
×
10
=
C
10
×
10
This gives
60
=
C
.
Now substitute x for 8 in the equation and 60 for C
8
=
60
y
multiply both sides by y
8
×
y
=
60
y
×
y
This gives
8
y
=
60
now divide both sides by 8
8
y
8
=
60
8
The answer is
y
=
7.5
As x gets bigger y gets smaller in an inverse relationship.