Question

3 a marine biologist is studying how fast a dolphin swims. the dolphin swims at a constant speed for 5 seconds. the distance it swims is 55 meters. the relationship between time and distance for the trip is proportional.
a. make a graph showing the change in the dolphin’s distance over time. how far does the dolphin swim in 1 second?
show your work.

Explanation:

Step1: Calculate speed per second

$\text{Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{55}{5} = 11$ meters per second

Step2: Define proportional relationship

Let $d$ = distance (meters), $t$ = time (seconds). The relationship is $d = 11t$.

Step3: Identify key points for graph

For $t=0$, $d=0$; $t=1$, $d=11$; $t=2$, $d=22$; $t=3$, $d=33$; $t=4$, $d=44$; $t=5$, $d=55$. Plot these points and draw a straight line through them (starting at the origin, since distance is 0 at time 0).

Answer:

The dolphin swims 11 meters in 1 second.
For the graph: Plot the points (0,0), (1,11), (2,22), (3,33), (4,44), (5,55) on a coordinate plane with time on the x-axis and distance on the y-axis, then connect them with a straight line passing through the origin.