Question

PLEASE HELP ME WITH THIS 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 330 at increments of 66. A straight line joins the ordered pairs 0, 0 and 2, 66 and 4, 132 and 6, 198

Based on the graph, what is the dependent variable, what is 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 y = 33x, and the dragonfly will travel 792 miles.
The dependent variable is distance, the equation is x = 33y, and the dragonfly will travel 1,056 miles.
The dependent variable is time, the equation is y = 33x, and the dragonfly will travel 792 miles.
The dependent variable is time, the equation is x = 33y, and the dragonfly will travel 1,056 miles.

Answer 1

The dependent variable is distance, the equation is y = 33x, and the dragonfly will travel 792 miles

Explanation:

ordered pairs: (0, 0) (2, 66) (4, 132) (6, 198)

slope of linear equation = change in y ÷ change in x

⇒ slope = (132 - 66) ÷ (4 - 2) = 33

Therefore, equation of the line: y = 33x

When x = 24, y = 33 × 24 = 792 miles

Distance is dependent on time, therefore distance is the dependent variable and time is the independent variable.