Question

The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hour. 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?

Answer 1

The graph provides distance as a linear function of time.
The y-intercept is zero.

The line passes through (0,0) and (6,120).
Calculate the slope.
m = (120 - 0)/(6 - 0) = 20

The equation of the line is
d = 20t
where
t = time, hours
d =  distance, miles

Therefore distance is the dependent variable.
When t = 24 hours, the distance is 20*24 = 480 miles.

Answers:
(a) Distance is the dependent variable
(b)The equation relating the two variables is
    d = 20t
    where
    t = time, hours
    d = distance, miles
(c) In 24 hours, the dragonfly will travel 480 miles.