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Radiation​ machines, used to treat​ tumors, produce an intensity of radiation that varies inversely as the square of the distance from the machine. At 3​ meters, the radiation intensity is 62.5 milliroentgens per hour. What is the intensity at a distance of 2.7 ​meters?The intensity is______milliroentgens per hour. (Round to the nearest tenth as needed.)

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Answer:

77.2 milliroentgens per hour

Step-by-step explanation:

The first step is to find the constant of proportionality

I ∝ 1/d²

I = k/d²

62.5 = k/(3)²

k = 562.5

The second step is to calculate the intensity at 2.7 meters:

I = 562.5/d²

I = 562.5/(2.7)²

I = 77.2 milliroentgens per hour

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