document.write( "Question 1104227: The volume of gas in your car’s gas tank depends on the number of miles you have driven.
\n" ); document.write( "Suppose you leave home with a full tank and begin driving at a constant speed. After driving 120 miles you have 12 gallons in your tank.
\n" ); document.write( "After driving 220 miles you have 8.66 gallons in your tank.
\n" ); document.write( "Assume the relationship is linear. \r
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\n" ); document.write( "\n" ); document.write( "a. Find a function that models this situation. (Input miles driven and output gallons of gas in your tank.)\r
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\n" ); document.write( "\n" ); document.write( "b. How many gallons does your gas tank hold when full?\r
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\n" ); document.write( "\n" ); document.write( "c. How many miles can you drive before you will run out of gas?\r
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\n" ); document.write( "\n" ); document.write( "d. What is your car's approximate fuel efficiency in miles per gallon?\r
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Algebra.Com's Answer #718963 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Application for a linear equation.
\n" ); document.write( "Your data points for ordered pair are x for miles driven, and y for volume of fuel in the tank.\r
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\n" ); document.write( "\n" ); document.write( "The two points are (120, 12) and (220, 8.66).
\n" ); document.write( "Find the equation of the line with these two points.\r
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\n" ); document.write( "\n" ); document.write( "\"%2812-8.66%29%2F%28120-220%29=3.34%2F%28-100%29=-0.0334\", slope\r
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\n" ); document.write( "\n" ); document.write( "\"y-12=-0.0334%28x-120%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=-0.0334%28x-120%29%2B12\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=-0.0334x%2B12%2B4.008\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28y=-0.0334x%2B16.008%29\"\r
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\n" ); document.write( "\n" ); document.write( "Full tank holds 16 gallons of fuel. (If you want to three significant figures).\r
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\n" ); document.write( "\n" ); document.write( "Fuel Efficiency was \"100%2F3.34=30\", THIRTY miles per gallon, (if to three significant figures, then 30.0 mpg).
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