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m varies directly as n. m = 120 when n = 8. What is m when n = 11?

A. 15
B. 95
C. 135
D. 165

Sagot :

SenorMathWiz

Answer:

D.165

Step-by-step explanation:

m varies directly with n

m = 120 when n = 8

given this we want to find m when n = 11

we can use the direct variation equation to do so

y = kx but instead of x and y values we have values of m and n

m = kn

the constant is k, we need to solve for it, we can do so by plugging in m = 120 and n = 8

120 = k(8)

solving for k

divide both sides by 8

k = 15

the constant of variation is 15

now we want to find m when n = 11

using the direct variation equation we acquire

m = 11(15)

multiply 11 and 15

m = 165

the answer is D

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