Question

the velocities of snail and grasshopper are represented by the slope, or steepness, of the graph lines. the steeper the graph line, the greater the velocity. during the first 3 minutes, snail traveled grasshopper. during minutes 3 through 9, grasshoppers velocity was. snails velocity throughout the race.

Explanation:

Step1: Analyze the first 3 minutes

For the first 3 minutes, look at the \(y -\) values (position) of the snail and grasshopper at \(x = 3\). The snail's position is \(y = 6\) meters and the grasshopper's position is also \(y = 6\) meters. So, Snail traveled the same distance as Grasshopper.

Step2: Analyze minutes 3 through 9

For minutes 3 - 9, the grasshopper's position does not change (horizontal line on the graph). A horizontal line has a slope of \(0\). So, Grasshopper's velocity was zero.

Step3: Analyze Snail's velocity throughout the race

The Snail's graph is a straight - line (constant slope). For a position - time graph, a straight - line means constant velocity. So, Snail's velocity was constant throughout the race.

Answer:

During the first 3 minutes, Snail traveled the same distance as Grasshopper. During minutes 3 through 9, Grasshopper's velocity was zero. Snail's velocity was constant throughout the race.