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musickatia
[10]
3 years ago
11
Suppose that y varies directly with x and inversely with z, and y = 18 when x = 15 and z = 5. Write the equation that models the
relationship. Then find y when x = 21 and z = 7.
Mathematics
Answer
Comment
Send
2
answers:
Alborosie
3 years ago
7
0
Answer:
y=18
Step-by-step explanation:
Send
nevsk
[136]
3 years ago
4
0
Y=18
Explanation:
the initial statement is
y
∝
x
z
to convert to an equation multiply by k the constant
of variation
⇒
y
=
k
×
x
z
=
k
x
z
to find k use the given condition
y
=
18
when
x
=
15
and
z
=
5
y
=
k
x
z
⇒
k
=
y
z
x
=
18
×
5
15
=
6
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
6
x
z
2
2
∣
∣
∣
−−−−−−−−−−−−
when
x
=
21
and
z
=
7
then
y
=
6
×
21
7
=
18
Send
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