# The temperature T at a distance, d meters from a heat source is inversely proportional to the square of the distance. When d=4 t=275 how do you find t when d=6?

To find t when d=6, we can use the inverse square relationship between temperature and distance.

First, we can set up the equation using the given information:

T = k/d^2

where T represents the temperature, d represents the distance, and k is a constant.

Next, we can solve for k using the initial condition when d=4 and t=275:

275 = k/4^2

Simplifying the equation, we have:

275 = k/16

To find the value of k, we can multiply both sides of the equation by 16:

275 * 16 = k

k = 4400

Now that we have the value of k, we can substitute it back into the equation and solve for t when d=6:

t = k/6^2

t = 4400/36

t ≈ 122.22

Therefore, when d=6, the temperature (t) is approximately 122.22.

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