Jacob's new car gets 32 miles per gallon. The gas tank holds 14 gallons. He is traveling to North Numberton, which is 450 miles away. If he begins with a full tank of gas, can he make it to North
Numberton without refilling the gas tank?
Jacob has enough gos to make it to North
Jacob comes very close to North Numberton
Jacob hos exactly enough gas to make it to
Jacob comes nowhere near North

Respuesta :

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