If y varies directly as x, and x = 48 when y = 6, find y when x = 12.
Mathematics · Middle School · Sun Jan 24 2021
Answered on
Given the statement:
y varies directly as x, and x = 48 when y = 6
Find y when x = 12
Solution:
In order to determine the value of y, when x = 12, we must first solve for the constant of variation. This can be done by multiplying x and y.
k = xy
k = (48)(6)
k = 288
288 = 12y
Divide both sides by 12 in order to determine the value of y.
288/12 = 12y/12
y = 24
Final answer:
y = 25