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.