The resistance in ohms of a metal wire temperature sensor varies directly as the temperature in degrees kelvin (k). if the resistance is 510 ohms at a temperature of 170 k, find the resistance at a temperature of 250 k?

The resistance at a temperature of 250 K is 750 ohms

Step-by-step explanation:

We know that the resistance of a metal wire temperature sensor varies directly as the temperature, so we can construct a model using direct variation.

The definition of direct variation is:

Let x and y denote two quantities. Then y varies directly with x, or y is directly proportional to x, if there is a nonzero number k such that

The number k is called the constant of proportionality.

Applying the definition of direct variation to our situation, we get

Let R be the resistance in ohms, and t the temperature in K

Next, find the value of k, we know that when the temperature is 170 K the resistance is 510 ohms

Substitute k into the equation

Find the resistance at a temperature of 250 K

The resistance at a temperature of 250 K is 750 ohms.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

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step-by-step explanation: