#y# varies inversely with #x#, and #x=4.5# when #y=2.4#. What is the value of #x# when the value of #y=4.32#?
3 Answers
Explanation:
Inverse variation is given by:
Where
To find
When
Explanation:
Direct variation uses the equation
Inverse variation uses the equation
Where
In order to solve this problem we need to use the numbers provided for the first scenario to solve for the constant of
variation
Use the multiplicative inverse to isolate
Use the multiplicative inverse to bring
Divide both sides by
Explanation:
When;
Substituting the values of
Cross multiplying;
Therefore;
Now the relationship between the two unknowns becomes;
What is
Substituting the value of
Cross multiplying;