A marine biologist is studying how fast a dolphin swims. The dolphin swims at constant speed for 5 seconds. The distance it swims is 55 meters. The relationship between time and distance for the trip is proportional. to. 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

Respuesta :

We will see that the dolphin's speed is 11m/s, and the wanted graph can be seen at the end.

How to get the speed of the dolphin?

First, remember the relation:

[tex]Speed = \frac{Distance}{Time}[/tex]

We only need to use that, here we know that the dolphin swims for 5 seconds, and in that time it covers a distance of 55 meters, then we have:

  • Time = 5 seconds
  • Distance = 55 meters.

[tex]Speed = \frac{55m}{5s} = 11 m/s[/tex]

This means that the dolphin swims 11 meters in one second.

How to get the graph of the change in distance over time?

If the speed of the dolphin is 11 m/s, his position can be written as:

P(t) = (11 m/s)*t

Where t is the time in seconds, this is just a line, to graph it just evaluate the function in two values of t, then graph the points on a coordinate plane, and then connect them with a line.

The graph can be seen below.

If you want to learn more about speed, you can read:

https://brainly.com/question/4931057

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