To allow enough distance for cars to pass on two-lane highways, engineers calculate minimum sight distances between curves and hills. The table shows the minimum sight distance y in feet for a car traveling at x miles per hour.

(a) Make a scatter diagram of the data.

(b) Use the regression feature of a calculator to find the best-fitting linear function for the data. Graph the function with the data.

(c) Repeat part (b) for a cubic function.

(d) Estimate the minimum sight distance for a car traveling 43 mph using the functions from parts (b) and (c).

(e) By comparing graphs of the functions in parts (b) and (c) with the data, decide which function best fits the given data.

Transcribed Image Text:

x (in mph) y (in feet) 60 65 20 30 40 70 1090 1480 1840| 2140 2310 2490 810