Question is inversely proportional to the square of . Given that when find a formula for terms of .
Studdy Solution
STEP 1
1. is inversely proportional to the square of .
2. The relationship can be expressed as for some constant .
3. We are given that when .
STEP 2
1. Set up the equation for inverse proportionality.
2. Solve for the constant .
3. Write the formula for in terms of .
STEP 3
Since is inversely proportional to the square of , we can express this relationship as:
where is a constant.
STEP 4
Substitute the given values and into the equation to solve for :
Multiply both sides by 16 to solve for :
STEP 5
Substitute the value of back into the equation for :
This is the formula for in terms of .
The formula for in terms of is:
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