Selected values of the stopping distance y, in feet, of a car traveling x miles per hour are given in the table.

(a) Plot the data.

(b) The quadratic function ƒ(x) = 0.056057x² + 1.06657x is one model that has been used to approximate stopping distances. Find ƒ(45) to the nearest foot, and interpret this result.

(c) How well does ƒ model the car’s stopping distance?

Speed ............................(in mph) Stopping Distance (in feet)

20 ................................................................46

30 ................................................................87

40 ..............................................................140

50 ..............................................................240

60 ..............................................................282

70 ..............................................................371