Suppose that y varies inversely with x. Write a function that models the inverse function. x = 7 when y = 3?

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Answer 1 · 2017-03-27T11:42:46

#y=21/x#

Inverse variation formula is #y=k/x#, where k is the constant and #y=3# and #x=7#.

Substitute #x# and #y# values into the formula,

#3=k/7#

Solve for k,

#k=3xx7#
#k=21#

Hence,

#y=21/x#

Answer 2 · 2017-03-27T11:44:44

# y = 21/x#

# y = k * 1/x# , where #k# is a constant.

#x = 7, y = 3#, then

#3 = k * 1/7#

multiply with #7# to both sides.

#7 * 3 = k * 1/7 * 7#

# 21 = k#

therefore it equation is

# y = 21 * 1/x = 21/x#