Question

30 BONUS POINTS) HELP ME OUT-
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

1. thaiduong

2. diemthu

ur independent variable is ur x values….ur dependent variable is ur y values..so if hrs are on the x axis, then ur independent values are ur hrs (or time)….and ur dependent values are ur distance.

(0,0),(2,50)
slope = (50 – 0) / (2 – 0) = 50/2 = 25

y = mx + b
slope(m) = 25
and since u have point (0,0), ur y int (b) = 0
so ur equation is y = 25x + 0 which is written as y = 25x…which is basically saying that he travels 25 miles per hr

how far will he travel in 24 hrs…..so sub in 24 for x
y = 25(24)
y = 600 miles

in summary : The dependent variable is distance, the equation is y = 25x and the dragonfly will fly 600 miles.