SOLUTION: The amount of gas in a gas tank is a linear function based on the number of miles driven on the open highway. Use the data in the following table to answer the questions: Amoun

Question 1163295: The amount of gas in a gas tank is a linear function based on the number of miles driven on the open highway. Use the data in the following table to answer the questions:
Amount of gas (gallons)
18
12
8
Number of miles driven
90
360
540
a) What is the slope of the function?
b) What is the y-intercept of the function?
c) Write an equation that could be used to model this linear function expressing miles driven, M(x), in terms of amount of gas, x, in the tank:
d) How many gallons of gas does the gas tank hold?

What does this represent in the function?
e) How many miles per gallon does this particular vehicle get on the open highway?

What does this represent in the function?
f) If you can drive 75 mph on the open highway, how long will it take before you run out of gas?
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
-----------------------------------------------------
Amount of gas (gallons)
18
12
8
Number of miles driven
90
360
540
-----------------------------------------------------

x, miles driven   y, amount of gasoline in tank
  90                18
  360               12
  540                8

Checking slopes

and

Picking first point in the list

or if you want name of function to be M, then .
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