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The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:

A graph titled Motion of a Dragonfly shows Time in hours on the x axis and Distance in miles on the y axis. The scale on the x axis shows number from 0 to 10 at increments of 2, and on the y axis, the numbers are shown from 0 to 200 at increments of 40. A straight line joins the ordered pairs 0, 0 and 2, 40 and 4, 80, and 6, 120

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?

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.

Respuesta :

Answer:

it would be

The dependent variable is distance, the equation is y = 35x, and the dragonfly will travel 840 miles

Step-by-step explanation:

By the graph it can be seen that the distance a dragonfly can travel is dependent on the certain number of hours.

∴ Dependent variable  : Distance (on y axis)

The equation of straight line is given by :-

, here m is the slope of the line and c is the initial value of y at x=0.

From the given graph, the slope of the given line passing from (0,0) and (2,70) will be :-

Also, the value of y = 0 at x=0.

∴ The equation of the given line :

At x=24,  

∴  The dragonfly will travel 840 miles in 24 hours.

Answer:

I believe the answer is B.

Step-by-step explanation:

I took the test and got it correct!

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