(Modeling) Solve the problem.
Fuel Consumption The table shows the distance y traveled in miles by a car burning x gallons of gasoline.
x (gallons) | 5 | 10 | 12 | 16 |
y (miles) | 115 | 230 | 276 | 368 |
(a) Find values for a and b so that f(x) = ax + b models the data exactly. That is, find values for a and b so that the graph of f passes through the data points in the table.
(b) Interpret the slope of the graph of f.
(c) How many miles could be driven using 20 gallons of gasoline?
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