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An iron bar is heated. Its length, L, in millimetres can be modelled by a linear function, L= mT + c,


where T is the temperature measured in degrees Celsius (°C).


At 150°C the length of the iron bar is 180 mm.

Respuesta :

Answer:

L=1.44T

Step-by-step explanation:

We can determine c by knowing the lenght L and the temperature T which is given. We can determine c:

[tex]L=180=m\cdot{150}+c[/tex}

[tex]180-m\cdot{150}=c[/tex]

We can take any point to determine m, we can determine this by the ratio of length to temperature:

[tex]=180/150=1.2[/tex]

We know now that the lenght is 1.2 times the temperature. IF the the temperature is 50, the length is:

[tex]=50x1.2=60[/tex]

m is the gradient defined as (L2-L1)/(T2-T1) and we have all the terms:

[tex]m=(180-50)/(150-60)=130/90=1.44{tex]

We solve c by L=0:

c = 0

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