Question

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 dolphins distance over time. how far does the dolphin swim in 1 second? show your work.

Explanation:

Step1: Recall speed - distance - time formula

Speed $v=\frac{d}{t}$, where $d$ is distance and $t$ is time.

Step2: Identify given values

We know $d = 55$ meters and $t=5$ seconds.

Step3: Calculate speed

$v=\frac{55}{5}=11$ meters per second.

To make a graph, we can use the linear - relationship $d = vt$. The independent variable is time $t$ (in seconds) and the dependent variable is distance $d$ (in meters). We can choose points such as $(0,0)$ (when $t = 0$, $d=0$), $(1,11)$ (when $t = 1$, $d = 11$), $(2,22)$ (when $t=2$, $d = 22$), $(3,33)$ (when $t = 3$, $d=33$), $(4,44)$ (when $t = 4$, $d = 44$), $(5,55)$ (when $t = 5$, $d = 55$) and plot them on a coordinate plane with the $x$ - axis as time and the $y$ - axis as distance.

Answer:

The dolphin swims 11 meters in 1 second.