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Hi I need help with this question (see image ). Please show workings if necessary.​

Hi I need help with this question (see image ). Please show workings if necessary-example-1

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Answer:

63.4 °C

Step-by-step explanation:

If we assume the "fixed points" are 0 °C and 100 °C, then the thermometer reading as a function of actual temperature can be described by a linear equation that must have (0, -0.5) and (100, 106) as solutions. We can use these points in the 2-point form of the equation for a line:

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (106 -(-0.5))/(100 -0)(x -0) -0.5

y = 106.5x -0.5

Then, for x = 60, the thermometer reading is expected to be ...

y = 106.5×60 -0.5 = 63.4 . . . °C

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