M varies directly as n, and m=14 when n=7 a) Write an equation that relates m and n b) find m when n=16 c) find n when m=30

a)m =K n

b)m = 32

c)n=15

Step-by-step explanation:

M varies directly as n can be expressed mathematically as

m ∝ n

Introducing the constant of proportionality, K, we have that

m =K n

Now when m=14 and n=7, K becomes

14=K X 7

K=14/7 = 2

b) find m when n=16

m =K n

m = 2 x 16=32

c) find n when m=30

m =K n

30=2 x n

n=30/2 =15

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

55% are girls and 45% are boys : ) hope this

step-by-step explanation: