Mathematics, 13.10.2019 20:30 lke123

Acharter bus travels 210 miles in 3 1/2 hours. assume the distance traveled is directly proportional to the time traveled. write and solve a direct variation equation to find how far the bus travel in 6 hours.

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The constant of variation is 60 miles.

Direct variation formula: y = kx

y = 210
x = 3 1/2 miles
k = ?

k = y/x
k = 210 / 3 1/2 miles

*convert mixed fraction into a simple fraction
3 1/2 = (3*2+1)/2 = 7/2
k = 210 ÷ 7/2

Remember the rule of dividing fractions: multiply the 1st fraction by the reciprocal of the 2nd fraction.
1st fraction = 210 ⇒ 210/1
2nd fraction = 7/2 ⇒ reciprocal = 2/7

k = 210/1 * 2/7 = (210*2)/(1*7) = 420/7 = 60

The constant of variation is 60 miles.

To check:
y = kx
y = 60 (3.5)
y = 210 miles

Answer from: sylviawilliams04

We set up an equation: 210 miles/ (3 1/2 hours)= ? miles/ 6 hours

Cross multiply:
? miles* 3 1/2 hours= 210 miles* 6 hours
⇒ ? miles= 210 miles* 6 hours/ (3 1/2 hours)= 360 miles.

The bus would travel 360 miles in 6 hours~

Answer from: Quest

A. p = 2(l + w)p/2 - l = ww = p/2 - l b. while isolating the variable w in the equation, i first divided both sides by 2 and then i subtracted l from both sides. i hope this .

Answer from: Quest

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

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Acharter bus travels 210 miles in 3 1/2 hours. assume the distance traveled is directly proportional...

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