Question #8333d

1 Answer
Mar 13, 2017

#x = 2#

Explanation:

Varies directly means that it is proportional: #A = kB# where #k# is the constant of proportionality.

#x = ky#

Solve for #k#:

#8 = k * 24# so #k = 8/24 = 1/3#

So when #y = 6#: #x = 1/3 * 6 = 2#

You can also solve this problem using proportions without a #k#:
#x_1/y_1 = x_2/y_2#; #8/24 = x_2/6#

Using the cross product #x_1 * y_2 = x_2* y_1#

#24x_2 = 48#

So #x_2 = 48/24 = 2#