Question

Math Methods:

1. The data in the accompanying table show the speed n (in increments of 5 mph) of an automobile and the associated distance in feet required to stop it when the brakes are applied. For instance,n= 6 (representing 6x5 = 30 mph) requires a stopping distance of 47 ft.

n	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16
	3	6	11	21	32	47	65	87	112	140	171	204	241	282	325	376

1. Plot the versus time . Does the relationship look linear ?

2. Plot the versus time n. Does the relationship look linear ?

      C. Assume you can fit the difference equation. Estimate kusing the methods shown in class.

     D. Assume you can fit the difference equation. Estimate kusing the methods shown in class.

E. Use the models in Part C and Part D to make predictions. Compare these predictions against the observed data and discuss which model is more accurate.

Answer 1