The Problem

The following table shows the distance traveled in miles,y, by a car after burning x gallons of gasoline.

x (gallons)
5
10
15
20
y (miles) 84 169 255 338

 

a). Make a scatterplot of the data. Could a linear function be used to model this data?
b). Find values a and b so that f(x) = ax + b models the distance traveled on x gallons of gasoline. Graph f and the data in the same viewing rectangle.
c). Interpret the slope of the graph of f.

 

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