Use a linear model to make a prediction. Make a scatter plot to represent the data. Draw a trend line and write an equation for the trend line. Use the equation to predict the time needed to travel 32 miles on a bicycle. Speed on a Bicycle Trip Step 1  Draw a scatter plot. Use a       straight edge to draw a trend line. Estimate two points on the line. Miles Time (min) 5 27 10 46 14 71 18 78 22 107 6-6

Use a linear model to make a prediction. (continued) Step 2  Stack, Subtract and divide to find the slope. (22, 127) – (5,27) = 17 , 100 = 5 so let m = 5 100 17 y = m x + b   Use slope intercept form and solve for b. 27 = 5(5) + b Substitute 5 for m and (5, 27) for (x, y). 27 = 25 + b Solve for b 2 = b Step 3  Predict the time needed to travel 32 miles. y = 5(32) + 2 Substitute 32 for x. y = 160 + 2 Multiply. y = 162 Add. The time needed to travel 32 miles is about 162 minutes. 6-6