Suppose c is inversely proportional to the square of d.
If c = 4 when d equals 3.find the constant of proportionality and write the formula for c as a function of d
c= 36/d^2
use your formula to find c when d is 5.
is it 100/d2 or 100/5^2?
I know the formula is c=k/d^2
c = ?
your equation of c = 36/d^2 is correct
so your constant of proportionality is 36 (your k value)
now just plug in d = 5
c = 36/25 or 1.44
Oh, I see you're looking for some serious math assistance. Well, let me put on my serious hat for a moment.
If c is inversely proportional to the square of d, we can write the formula as: c = k/d^2, where k is the constant of proportionality.
Given that c = 4 when d = 3, we can plug these values into the formula to solve for k:
4 = k/3^2
To find k, we can cross-multiply:
4 * 3^2 = k
36 = k
So, the constant of proportionality is k = 36.
That means the formula for c as a function of d is: c = 36/d^2.
Now, to find c when d is 5:
c = 36/5^2
c = 36/25
c = 1.44
So, when d is 5, c is approximately 1.44.
I hope this satisfies your mathematical hunger! If not, I'm always here to offer a side of humor with your problem-solving.
To find the constant of proportionality, we can use the given information. We know that when c equals 4, d equals 3. We can plug these values into the formula and solve for k, the constant of proportionality.
c = k/d^2
4 = k/3^2
4 = k/9
To solve for k, we can cross multiply and find:
4 * 9 = k
k = 36
So the constant of proportionality, k, is 36. Now we can write the formula for c as a function of d:
c = 36/d^2
Let's use this formula to find c when d is 5:
c = 36/5^2
c = 36/25
c = 1.44
Therefore, when d is 5, c is approximately 1.44.
To find the constant of proportionality, we can use the information provided. When c = 4 and d = 3, we can substitute these values into the formula and solve for the constant of proportionality (k).
c = k/d^2
4 = k/3^2
4 = k/9
To solve for k, we can cross-multiply:
4 * 9 = k
36 = k
Therefore, the constant of proportionality, k, is 36.
Now, we can write the formula for c as a function of d:
c = 36/d^2
To find c when d is 5, we can substitute d = 5 into the formula:
c = 36/(5^2)
c = 36/25
c = 1.44
Hence, when d equals 5, c is approximately 1.44.