SOLUTION: Solve the word problem using linear inequalities. A car that averages 25 miles per gallon has a tank that holds 20 gallons of gas. After a trip that covered at least 300 miles,

Algebra ->  Graphs -> SOLUTION: Solve the word problem using linear inequalities. A car that averages 25 miles per gallon has a tank that holds 20 gallons of gas. After a trip that covered at least 300 miles,       Log On


   



Question 912773: Solve the word problem using linear inequalities.
A car that averages 25 miles per gallon has a tank that holds 20 gallons of gas. After a trip that covered at least 300 miles, the car ran out of gas. What is the range amount of the gas (in gallons) that was in the tank at the start of the trip?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
RV=D Uniform Rates for Fuel Efficiency; V for volume of fuel, D for distance.

25%2A20, which is the distance that the car is expected to travel with a full tank of gasoline at start. That is 500 miles, BUT the car went less than 300 miles.

25%2Av%3C300
v%3C300%2F25
v%3C12

The tank had less than 12 gallons of gasoline to start.

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the word problem using linear inequalities.
A car that averages 25 miles per gallon has a tank that holds 20 gallons of gas. After a trip that covered at least 300 miles, the car ran out of gas. What is the range amount of the gas (in gallons) that was in the tank at the start of the trip?

Let amount in tank, at start, be A
Then, 25A+%3E=+300
A+%3E=+300%2F25
Amount of gas in tank, at start, or highlight_green%28highlight_green%28A+%3E+=+12%29%29 gallons