It is given that y varies inversely as x varies. if x = 8 and y = 6, what is the value of y when x = 4?

10 points !

answer:

the answer to your question is y = 12

step-by-step explanation:

data

x = 8       y = 6

x = 4       y = ?

they vary inversely

process

1.- use proportions to solve this problem

                              8   6

                                4   y

as they vary inversely, multiply 6 by 8 and the result divide it by 4

                              y = (6 x 8) / 4

simplification

                              y = 48 / 4

result

                              y = 12                                              

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)