Question

Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed? (look at the image below)

The dependent variable is distance, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.
The dependent variable is time, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is time, the equation is y = 20x, and the dragonfly will travel 480 miles.

Answer 1

40/2 = 20
so
y = 20x

y = distance (miles) and x = time (hours)
so if x = 24 then y = 20x = 20(24) = 480

answer
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.

Answer 2

The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.

Explanation:

According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.

To find the equation, we just need to find the slope, using two points (0,0) and (2,40).

`m=(y_(2) -y_(1) )/(x_(2) -x_(1) )=(40-0)/(2-0)=20`

Therefore, the equation is
`y=20x`, which shows a direct proportion between variables.

Now, in 24 hours, it would travel

`y=20(24)=480`

It would travel 480 miles.

Therefore, the right answer is the second choice.