Question

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? (1 point)

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

(b) distance, y=20x, 480 mi

Explanation:

As is often the case, the only self-consistent answer choice is the correct one.

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The dependent variable is plotted on the y-axis, so is distance.

(x, y) = (2, 40) tells you y = 20x is an appropriate choice of equation.

In 24 hours, the dragonfly will fly y = 20(24) = 480 miles.