Final answer:
The question tackles basic algebra related to unit conversions in Mathematics, suited for middle school students. By dividing the total steps Gustave walked (6,300) by the total miles walked (33), we find that he takes 2100 steps per mile, making option (a) the correct answer.
Step-by-step explanation:
The subject of this question is Mathematics, and it is a problem typical of a middle school level focusing on basic algebra and unit conversions. Gustave measured his pace and found that s steps make up one mile. On a particular day, he walked 6,300 steps, which he determined was 33 miles.
To find the value of s, we divide the total steps taken by the total miles walked to get the number of steps per mile. So, s = 6,300 steps / 33 miles, which calculates to 2100 steps per mile. Therefore, the correct answer is option (a) s=2100.
To determine the value of s, we can use the equation s steps = 1 mile. Given that Gustave walked 33 miles, we can set up the equation 33 miles = s steps. Solving for s, we find that s = 33 miles / 6300 steps = 2100 steps.
Therefore, the correct answer is (a) s = 2100.