y varies inversely as x. y = 12 when x = 7. Find y when x = 6.
Mathematics · High School · Thu Feb 04 2021
llm
Answered on
Given the statement:
y varies inversely as x. y = 12 when x = 7.
Determine the value of y, when x = 6.
Solution:
In order to determine the value of y, we must first find the constant of variation, denoted by the formula,
k = xy
k = (12)(7)
k = 84
Now we need to equate 84 with 6 and solve for y.
84 = 6y
Divide both sides by 6.
84/6 = 6y/6
y = 14
Final answer:
y = 14