When determining an equation that describes the relationship between the weight, w, in pounds added to a spring and the length, L, in inches of the spring, as shown in the accompanying figure, Cynthia recorded the measurements given in the the accompanying table.
Length Weight
L (in.) w(lb)
10.75 10
11.8 20
13.0 30
13.9 40
15.7 50
Find an equation of the line w = aL + b that best fits the data Cynthia recorded. Estiimate a and b correct to the nearest hundredth. Determine the length of the spring to the nearest tenth of an inch when W = 68 pounds.
Length Weight
L (in.) w(lb)
10.75 10
11.8 20
13.0 30
13.9 40
15.7 50
Find an equation of the line w = aL + b that best fits the data Cynthia recorded. Estiimate a and b correct to the nearest hundredth. Determine the length of the spring to the nearest tenth of an inch when W = 68 pounds.
