Express the statement as an equation (use k as the constant of proportionality)
A varies inversely as r.
Use the given information to find the constant of proportionality
If r=5,then A=9
K=?
The statement can be expressed as A = k/r, where k is the constant of proportionality.
To find the constant of proportionality, substitute the given values into the equation:
9 = k/5
To solve for k, multiply both sides of the equation by 5:
45 = k
Therefore, the constant of proportionality is k = 45.
To express the statement "A varies inversely as r" as an equation, we can use the formula:
A = k/r
Now, we can use the given information to find the constant of proportionality (k). If r = 5 and A = 9, we can substitute these values into the equation:
9 = k/5
To find k, we can multiply both sides of the equation by 5:
5 * 9 = k
45 = k
So, the constant of proportionality (k) is 45.