The table shows the sight distance y in feet for a car traveling at x miles per hour. x (in mph) y (in feet) 20 30 40 50 60 65 70 1090 820 1485 1840 2140 2320 2490
The table shows the sight distance y in feet for a car traveling at x miles per hour. x (in mph) y (in feet) 20 30 40 50 60 65 70 1090 820 1485 1840 2140 2320 2490
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section8.5: Using Intercept Form
Problem 102E
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
(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 68 mph using the functions from parts (b) and (c).
(e) By comparing the graphs of the functions in parts (b) and (c) with the data, decide which function best fits the given data.
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