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 250 at increments of 50. A straight line joins the ordered pairs 0, 0 and 2, 50 and 4, 100 and 6, 150
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 t

- anonymous

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- anonymous

The dependent variable is distance, the equation is y = 25x, and the dragonfly will travel 600 miles. The dependent variable is distance, the equation is x = 25y, and the dragonfly will travel 720 miles. The dependent variable is time, the equation is y = 25x, and the dragonfly will travel 600 miles. The dependent variable is time, the equation is x = 25y, and the dragonfly will travel 720 miles.

- anonymous

@Deeezzzz

- anonymous

@d3v13

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## More answers

- anonymous

@mathstudent55

- anonymous

someone plz help

- UnkleRhaukus

|dw:1437722943757:dw|

- anonymous

yes

- UnkleRhaukus

|dw:1437723016130:dw|

- anonymous

correct

- UnkleRhaukus

|dw:1437723141054:dw|

- anonymous

yes it is

- UnkleRhaukus

so what is the dependent variable ?

- anonymous

the y axis

- UnkleRhaukus

which variable does this correspond to (for the dragonfly)

- anonymous

what do u mean

- anonymous

?????

- UnkleRhaukus

which variable (distance or time)

- anonymous

distance

- UnkleRhaukus

yes the 'distance' the dragonfly can fly is the dependent variable, [this distance depends on how how much time the dragon fly has]

- anonymous

so is the answer either a or c

- anonymous

nvm its A, right

- UnkleRhaukus

the slope intercept form of a straight line through the origin, is
y = mx + b
when the slope of the line is m
and the y-intercept is b.

- anonymous

y=25x right??

- UnkleRhaukus

we see that the line passes through the origin,
so we know that b=0.
but what is the slope m?

- anonymous

is it a

- UnkleRhaukus

if we find the slope between (0,0) and (2,50)
m = (50-0)/(2-0)
= 50/2
= 25
so yes the slope m is 25

- anonymous

yaaaay thx

- anonymous

is it a

- anonymous

????

- anonymous

y=25x

- UnkleRhaukus

you have
y(x) = 25x
or equivalently
distance(time[hours])[miles] = 25[miles/hours] * t[hours]

- anonymous

is the correct answer a

- UnkleRhaukus

what do you get when
time[hours] = 24[hours]
d(24[hr])[mi] = 25[mi/hr] * 24[hr]

- anonymous

??????????

- anonymous

just tell me if it is A

- UnkleRhaukus

multiply 25 [miles/hour], by 24[hours]

- anonymous

600

- anonymous

so a is correct

- UnkleRhaukus

[units?]

- anonymous

i did 25 x 24

- UsukiDoll

units matter too ....

- UsukiDoll

25 m/h x 24 h

- anonymous

so what do i do

- UsukiDoll

a unit can be canceled out

- UsukiDoll

|dw:1437724317100:dw|

- anonymous

so A is not right????

- UnkleRhaukus

\[25 [\text{mi}/\text{hr}] \times 24[\text{hr}]
=(25\times24)\frac{[\text{mi}][\text{hr}]}{[\text{hr}]} \\
=(25\times24)\frac{[\text{mi}]\cancel{[\text{hr}]}}{\cancel{[\text{hr}]}} \]

- UsukiDoll

Thank you @UnkleRhaukus

- anonymous

600m

- UsukiDoll

there we go.

- anonymous

ohhhh

- anonymous

so a is right

- UsukiDoll

bunch of physics problems have numbers and units. so we need to keep the units while we're computing... otherwise the grader will be like 600 what ?
600 miles

- UnkleRhaukus

meters is [m],
miles is [mi] .

- anonymous

k thx

- UnkleRhaukus

|dw:1437724740526:dw|

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