SOLUTION: The amount of gas decreases linearly as the car is driven. A car is filled to capacity with the gas and then driven 40 miles. This leaves 13 gallons of fuel in the tank. After driv

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The amount of gas decreases linearly as the car is driven. A car is filled to capacity with the gas and then driven 40 miles. This leaves 13 gallons of fuel in the tank. After driv      Log On


   

Question 796409: The amount of gas decreases linearly as the car is driven. A car is filled to capacity with the gas and then driven 40 miles. This leaves 13 gallons of fuel in the tank. After driving 180 miles there is 6 gallons of fuel left in the tank.
a) Find a linear equation that describes the amount of gas left in a car based on the miles driven.
b) How many gallons does the tank hold when totally full?
c) How many miles can you drive before you run out of gas?
d) The gas light comes on when there is 1 gallon of gas left. How many miles have you driven when the gas light illuminates?
e) What is the fuel rating (miles per gallon) for the car?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


a. You are given two data points (40,13) and (180,6). Use the two-point form of an equation of a line to write the desired equation.



where and are the coordinates of the given points.

Use the equation to answer the other parts:

b. Find the y-coordinate when x = 0

c. Find the x-coordinate when y = 0

d. Find the x-coordinate when y = 1

e. Report the slope of the line as a positive number.

John

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