The length L (in centimeters) of a copper rod is a linear function of its Celsius temperature C. In an experiment if L =124.942 when C =20 and L =125.134 when C =110, express L in terms of C.
Assuming:
C along the x-axis and L along the y-axis
Given:
Points (20, 124.942) and (110, 125.134) in CL plane.
Concept Used:
The equation of the line passing through the two points ( x1, y1) and ( x2, y2)
To find:
The equation of L in term of C.
Explanation:
L is a linear function of C, the equation of the line passing through (20, 124.942) and(110, 125.134) is
Formula used:
⇒
⇒
⇒
⇒
⇒
Hence, the equation of L in term of C is