Question

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

Answer 1

Answer:

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 :-

$y=mx+c$, 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 :-

$m=\dfrac{70-0}{2-0}=35$

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

∴ The equation of the given line : $y=35x$

At x=24,  $y=35(24)=840$

∴  The dragonfly will travel 840 miles in 24 hours.