Choose the algebraic expression for this word problem.
Author Jules Verne's fictional submarine, the Nautilus, traveled under the sea 20,000 leagues. Let 1 league equal x miles. How many miles did the Nautilus travel?
Select the correct answer.
Question 3 options:
20,000 + x
20,000x
x - 20,000
The correct answer is 20,000x.
To solve this word problem, you first need to understand the relationship between leagues and miles. The problem states that 1 league is equal to x miles.
Next, think about what the problem is asking. It wants to know how many miles the Nautilus traveled. The Nautilus traveled 20,000 leagues. So, we need to calculate the distance in miles.
To do this, you can set up a proportion using the given relationship: 1 league = x miles.
Now, you know that 20,000 leagues is equivalent to x miles. Therefore, the correct algebraic expression for this word problem is 20,000x.
Hence, the correct answer is: 20,000x.
To express the number of miles the Nautilus traveled, we need to multiply the number of leagues by the length of 1 league in miles.
Let's assume that 1 league equals x miles.
Therefore, the algebraic expression for the word problem is 20,000 * x.
Hence, the correct answer is 20,000x.