Canadian Snow Geese migrate more than 4,800 kilometers from their winter home in the Southwest United States to the Canadian arctic. One flock was known to migrate 600 kilometers in 7.5 hours.

Write a direct variation equation for the distance flown at any time. How long will it take the geese to travel 4,800 kilometers at this rate?

Question

Canadian Snow Geese migrate more than 4,800 kilometers from their winter home in the Southwest United States to the Canadian arctic. One flock was known to migrate 600 kilometers in 7.5 hours. 

Write a direct variation equation for the distance flown at any time. How long will it take the geese to travel 4,800 kilometers at this rate?

bibby · Answer

set up the proportion keeping the units aligned.$$\huge \frac{ 600km }{ 7.5hr } = \frac{ 4800km }{ xhr }$$

bibby · Answer

to find the variation you can either cross multiply or just find the relation between 4800 and 600.

mwhit2101 · Answer

How?

mwhit2101 · Answer

You mean cross multiply like 4800*7.5?

bibby · Answer

How do you get from 600 to 4800?

600x = 4800

bibby · Answer

that works too

mwhit2101 · Answer

so 36000...

mwhit2101 · Answer

4800*7.5=36000 i believe

bibby · Answer

you didn't multiply across the other diagonal

mwhit2101 · Answer

to get from  600 to 4800 you would divide it which gives you 8

mwhit2101 · Answer

Well i dont know the hours so i cant...

mwhit2101 · Answer

unless i just put 600x idk

bibby · Answer

that's the whole point of algebra... You use x for an unknown variable you're solving for.

600x=36000

mwhit2101 · Answer

ohh

mwhit2101 · Answer

ok so

bibby · Answer

|dw:1392763290391:dw|