Question

In a race, Jason's position was −11 1/5 feet relative to the leader after 1 3/4 minutes. On average, how much did Jason's position relative to the leader change per minute?

Answer 1

To find the average change in Jason's position relative to the leader per minute, we need to determine the total change in his position and divide it by the total time elapsed. First, let's convert Jason's initial position from a mixed number to an improper fraction: -11
1/5 = -56/5. Next, let's convert the
time from a mixed number to an
improper fraction: 1 3/4 = 7/4. To
calculate the total change in Jason's position, we subtract his initial position from his final position. Since his position is relative to the leader, the final position will be 0 (since the leader is at position 0). Thus, the total change in Jason's position is 0 -
(-56/5) = 56/5. The total time
elapsed is 7/4 minutes. Now, to find the average change in Jason's position per minute, we divide the total change in his position by the total time elapsed: (56/5) ÷ (7/4). To

Answer 2

Imagine Jason racing his heart out! In just 1 3/4 minutes, he changed his position by −11 1/5 feet relative to the leader. Now, let's figure out how much his position changed per minute, on average.

To simplify things, let's turn 1 3/4 minutes into a single fraction, which is 7/4 minutes. Then, we'll find the average change per minute:

Change in position ÷ Time taken = (−11 1/5 feet) ÷ (7/4 minutes)

And ta-da! It turns out that, on average, Jason changed his position by about −6 4/7 feet per minute compared to the leader. You've got this, Jason! Keep up that amazing effort!

Explanation:

<3