Find a linear equation for the height, h, in terms of the mass, x

Question

mass (grams) 0 50 100 150

height (cm) 30.6 25.8 21 16.2

Answer 1

h = m(x) + c, substituting the values from your question gives 30.6 = m(0) + c giving " c = -30.6. substituting the next set of values gives "25.8 = m(50) +(-30.6) giving "56.4 = 50m" , solving gives m = 1.128 approximately m = 1.1 therefore the linear relationship is "h = 1.1x -30.6".