Question

sasha is swimming laps at the community pool. she starts in her lane at one end of the pool and swims back and forth several times at a steady rate. which graph could show sashas distance from her starting position over time?

Explanation:

Step1: Analyze Initial Position

Sasha starts at one end, so at time \( t = 0 \), her distance from start should be \( 0 \) (since she starts at the starting position). We check the graphs:

• Top - left: Starts above \( 0 \) → Eliminate.
• Top - right: Starts at \( 0 \) → Keep.
• Bottom - left: Starts above \( 0 \) → Eliminate.
• Bottom - right: Starts above \( 0 \) → Eliminate.

Step2: Analyze Motion Pattern

Sasha swims back and forth at a steady rate. So, when she swims to the other end, distance increases to the pool's length, then swims back to start (distance \( 0 \)), repeats. The top - right graph shows starting at \( 0 \), increasing to a max (swimming to end), decreasing to \( 0 \) (swimming back), and repeating, which matches the motion.

Answer:

The Top - Right Graph