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.