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If Jacob begins with a full tank of gas, Jacob comes very close to North Numberton.
What is a word problem?
Word problem in mathematics is the use of the mathematical method in solving real-life scenarios which involve careful understanding and crucial steps.
- To be able to solve this question, we need to determine the total distance the full gas tank can travel.
Jacob's new car consumes 1 gallon of gas fuel for 32 miles;
- Suppose a gas tank can hold 14 gallons, then:
The total journey he can travel with a full gas tank is:
= (14 × 32) miles
= 448 miles
Now, we are being told that Jacob is traveling to North Numberton and the total journey distance is 450 miles.
If he begins with a full tank of gas, Jacob comes very close to North Numberton because a full gas tank can only travel for 448 miles which is 2 miles away from the total journey of 450 miles.
Learn more about word problems in mathematics here:
https://brainly.com/question/13818690
Using proportions, it is found that the correct option regarding if John can make it to North Numberton without refilling the gas tank is:
- Jacob comes very close to North Numberton.
What is a proportion?
- A proportion is a fraction of total amount, and the measures are related using a rule of three.
- In the context of this problem, each gallon goes 32 miles, and the gas tank holds 14 gallons. How long can Jacob go?
The rule of three is:
1 gallon - 32 miles
14 gallons - x miles
Applying cross multiplication:
[tex]x = 32(14) = 448[/tex]
Approximately 450 miles, hence very close.
You can learn more about proportions at https://brainly.com/question/24372153