Answer:
m=0.08
Step-by-step explanation:
m varies jointly with n and h, and m = 2.4 when n = 0.6 and h = 0.8, solve for m when n = 1.6,h = 0.01
The statement denotes a relationship of m = knh where k is a constant
Plugging in our initial statement values of m = 2.4 when n = 0.6 and h = 0.8, we get:
[tex]2.4 = (0.6)(0.8)k[/tex]
[tex]2.4 = 0.48k[/tex]
Divide each side by 0.48 to solve for k:
[tex]\frac{2.4}{0.48} =\frac{0.48k}{0.48}[/tex]
[tex]\frac{2.4}{0.48} = 5[/tex]
[tex]k=5[/tex]
Solve the second part of the variation equation:
Because we have found our relationship constant k = 5, we form our new variation equation:
[tex]m = 5nh[/tex]
Since we were given that n = 1.6,h = 0.01, we have
[tex]m =( 5 )(1.6 )(0.01)[/tex]
[tex]\huge{\boxed{m=0.08}}[/tex]
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