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kow [346]
3 years ago
15

Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly trav

el 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.

Mathematics
2 answers:
ivann1987 [24]3 years ago
8 0

Answer:

<h2>The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.</h2>

Step-by-step 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=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{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.

vova2212 [387]3 years ago
6 0
40/2 = 20
so 
y = 20x

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

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