How Many Miles Could Each Automobile Travel On One Tank Of Gas

figurethis, Mar 11, 2005

You need to know its EPA mileage estimate, as well as its fuel capacity.The number ofmiles possible can be found using the formula: number of miles traveled =fuel capacity in gallons x the estimated mileage in miles per gallon.Complete Solution:Different combinations of city and highway driving are possible. If youassume all driving is done on the highway, the Navigator should go farthest as seen in the chart below, but all three go approximately thesame distance.

HighwayTank ApproximateCARMileage CapacityDistance(mpg)(gallons)(miles)Century2917.5508Metro4910.3505Navigator1730510If you assume all driving is done in the city, the Metro will go the farthest.CityTank ApproximateCARMileage CapacityDistance(mpg)(gallons)(miles)Century2017.5350Metro4410.3453Navigator1330390You might also consider different combinations of highway and city driving.Try This:

Choose a car. Use information from a website, magazine, or car dealerto determine how far this car can travel on one tank of gas.Additional Challenges:1. Suppose the following two cars travel 100 miles, half in the city and halfon the highway. Which uses the least amount of gas?
Ferrari Maranello (9 mpg city / 14 mpg highway)
Lamborghini Diablo (10 mpg city / 13 mpg highway)2. Suppose you wanted to design a car that could travel 600
highwaymiles on one tank of gas. What are some possible values for this car'sfuel capacity and highway mileage?
 Imagine that you drive a Metro. Your daily commute to work includes 80 highway miles and 10 city miles, each way. If you start the weekwith a full tank, on what day will you need to buy gas?Things toThink About:

How do automobile makers decide how many gallons of gas a tankshould hold?
How do automobile makers decide whether to put the gasoline tank on the left or the right of the car?
Some experimental cars operate on electric batteries. Do these go far-ther before the batteries die than another car would go on a tank of gas?Did You Know That?
A 1991 Toyota Land Cruiser with a 38.2-gallon gas tank traveled 1691.6miles without refueling.
Volkswagen has developed a car that can travel 80 miles on 1 gallon of gas.
Many trucks have more than one gas tank.
Because they had no gas gauge, some older-model Volkswagens had a 2-gallon reserve tank.Resources:Books:
The Guinness Book of Records. New York: Guinness Book of Records, 1999.
Kelley Blue Book Used Car Guide January-June 2000: Consumer Edition.
N.A.D.A. Official Used Car Guide. McLean, VA: National AutomobileDealers Association
Consumer Reports. Yonkers, NY: Consumers (1.)The Lamborghini Diablo.(2.) There are many combinations possible. For example, a car with a 13.4 –gallon tank and highwaymileage of 45 mpg could go about 600 miles.(3.) You will need gas on the third day.Answers to Additional Challenges:TangentNotes:
 
MathChallenge25#Answer:
Good Grape should have the strongest grape taste.Ratios are fractions that compare two or morequantities. Shoppers use ratios to compare prices;cooks use them to adjust recipes. Architects anddesigners use ratios to create scale drawings.Figure This!
If all grape juice concentrates are the same strength, which recipe would youexpect to have the strongest grape taste?????GRAPEJUICEJUNGLEHint: For each recipe think about how much watershould be used with 1 cup (c.) of concentrate,or how much concentrate should be used with 1 cup of water. Which tastesJUICIER

Get Started:Answer one of the following questions:
Which recipe uses the most waterfor 1 cup of concentrate?
Which recipe uses the most concentrate for 1cup of water?
Complete Solution:There are several ways to approach this problem. 
One way is to determine how much concentrate each recipe uses for 1 cup of water. The one that uses the most concentrate should havethe strongest grape taste.Cups ofCups of Ratio ofRatio ofR E C I P EConcentrate Water perConcentrateConcentrate toper RecipeRecipeto Water1 cup of WaterJerry’s Juice232/32 ÷ 3 ˜0.673 ÷ 31Grapeade585/85 ÷ 8 ˜0.638 ÷ 81Good Grape343/43 ÷ 4 =0.754 ÷ 41Jane’s Juice474/74 ÷ 7 ˜0.567 ÷ 71Good Grape has the most concentrate (0.75) for 1 cup of water. Itshould have the strongest grape taste.
 Another way is to find how much water each recipe uses for 1 cup ofconcentrate. Here, the recipe that uses the least water should have thestrongest grape taste.Cups ofCups of Ratio ofRatio of 1 CupR E C I P EConcentrate Water perConcentrateof Concentrate per RecipeRecipeto Waterto WaterJerry’s Juice232/32 ÷ 2 =13 ÷ 21.5Grapeade585/85 ÷ 5 =18 ÷ 51.6Good Grape343/43 ÷ 3 ˜14 ÷ 31.3Jane’s Juice474/74 ÷ 4 ˜17 ÷ 41.8Good Grape has the least amount of water, 1.3 cups, to 1 cup of concen-trate and so should have the most grape flavor.Try This:
Choose a product such as breakfast cereal, liquid soap, or canned soup.Check several different brands and package sizes to see the differencesin the cost per unit of weight or the cost per unit of volume.
A box of oatmeal usually has recipes for different sized servings. Checka box to see if the proportions of ingredients are the same for the differ-ent sized servings.Additional Challenge:1.
What is the ratio of water to the total amount of liquid in one recipe ofJerry’s Juice?
2. A fifth grade student drew this picture to solve a problem like the onein the challenge. The dark circles represent concentrate, and the whitecircles represent water.Describe each recipe. Rank the recipes in order from strongest to weakest.
3. If we mixed the concentrates for Jerry’s Juice and Grapeade and made arecipe, is this mixture as strongly grape flavored as Jerry’s Juice alone?Things toThink About:
 What fraction of the human body is water?
 What proportion of fats, carbohydrates, and proteins do you eat in a normal meal?
 Do all lemonade mixes contain lemon?Did You Know That?
 Grape juice and apple juice provide the base for many flavors of fruit juices
 If a recipe is doubled, tripled, or quadrupled, the proportion of an ingredientstays the same. This is an example of a direct proportion.
Direct proportions lead to the study of lines or linearity.Resources:Books:
Keijzer, Ronald, Mieke Abels, Laura J. Brinker, S. R. Cole, and Julia A.Shew. Ratios and Rates. In Mathematics in Context. National Center forResearch in Mathematical Sciences Education and Freudenthal Institute.Chicago: Encyclopaedia Britannica Educational Corporation, 1998
 Lappan, G., J. Fey, W. Fitzgerald, S. Friel, and R. Phillips. ConnectedMathematics: Comparing and Scaling. Palo Alto, CA: Dale SeymourPublications, 1996.
 Niven, Ivan. Numbers: Rational and Irrational. New Mathematical Library,Vol. 1. Washington, DC: Mathematical Association of America, 1961.= 1/3 ofcircleABC= 1/4 of circle

Answers to Additional Challenges:(1.) The ratio is 3 to 5.(2.) A is 2 cups of concentrate to 6 cups of water. B is 4 cups of concentrate to 9 cups of water. C is 3 cups of concentrate to 5 cupsof water. The ranking is C, B,and A from strongest to weakest.(3.) Jerry’s Juice is stronger than the mixture.AxisNotes: