Step-by-step explanation:
✒️\large \bold{QUESTION}QUESTION
If m varies directly as n and inversely o,
when m = 8, n = 4 and o = 2,
Find m, when n = 14 and o = 7.
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✒️\large \bold{ANSWER}ANSWER
M = 8
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✒️\large\bold{COMPUTATION}COMPUTATION
Step 1 : Formulate
Base on the given conditions, formulate.
m = \frac{an}{o}m=
o
an
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Step 2 : Substitute
Subtitute M = 8, n = 4, 0 = 2, into
m \frac{an}{o}m
o
an
8 = \frac{a \times 4}{2}8=
2
a×4
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Step 3 : Solve the Equation
\frac{a \times 4}{2} = 8
2
a×4
=8
\frac{a \times 4}{2} = 8
2
a×4
=8
a = 8 \times \frac{2}{4}a=8×
4
2
a = 2 \times 2a=2×2
= 4=4
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Step 4 : Find the Funtion
Find the equation of the function
m = \frac{4n}{o}m=
o
4n
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Step 5 : Subtitute
Subtitute n = 14 into m = \frac{4n}{o}m=
o
4n
m = \frac{4 \times 17}{7}m=
7
4×17
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Step 6 : Solve the Equation
m = \frac{4 \times 14}{7}m=
7
4×14
m = \frac{56}{7}m=
7
56
m = 8m=8
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So the correct Answer is m = 8
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#\large \bold{HopeItHelpsYou}HopeItHelpsYou
