Suppose you want to find the unit rate in the relationship between two variables X and Y. Since this is a proportional relationship, then
Y = cX for some constant [conversion] factor c.
For example if you travel at a constant rate of 2 metres per second, your speed can be given as 20 metres in 10 seconds or 200 metres in 100 seconds etc. The UNIT rate is the value when the second variable is 1. So 2 metres per second. But, you could also consider 1 minute and the unit rate could be given as 120 metres per minute, or 7.2 kilometres per hour - or however many it is per year!
There are some standard unit rates: km per hour is more acceptable for a car but for mechanics or physics, you would probably want metre per second (since the two measures are basic SI units.
If not dependent on SI units for further calculations, you select the appropriate units so that the answers are not too small nor too large (so I would not do kilometres per year), or where they can be re-scaled so that 7,200 metres per hour was given as 7.2 km per hour.
To find an unknown value in a proportional relationship, you can set up a ratio equation based on the known values. For example, if you have a proportional relationship expressed as ( \frac{a}{b} = \frac{c}{d} ), where ( a ) and ( b ) are known values, and ( c ) is the unknown, you can cross-multiply to solve for ( c ) by rearranging the equation to ( c = \frac{a \cdot d}{b} ). This allows you to calculate the unknown value while maintaining the proportional relationship.
You measure its length, breath, height and mass. Then Density = Mass/(Length*Breadth*Mass) in the appropriate units.
u find the common denominator
None, really, because a gallon is not a metric unit. A litre is the appropriate unit to use for measuring volumes.
You always use square units when measuring area.
we can cross multiply the two equivalent equations and then find the fourth proportional
Direct proportional means as one value increases the other value increases as well. For example, if add mass into a plastic bag the bag will expand/stretch therefore if mass increase the streching will increase as well. Hope you find it helpful!
Not sure how a radio can help. If you are given the radius (including units) of a sphere, the volume is 4/3*pi*r3 cubic units. Then mass = density*volume, in the appropriate units.
It is not two units are not the same as 1 density the objects density only counts on how much the mass of the object is then you will find out the density (units are counted in the density)
It is not two units are not the same as 1 density the objects density only counts on how much the mass of the object is then you will find out the density (units are counted in the density)
It is not two units are not the same as 1 density the objects density only counts on how much the mass of the object is then you will find out the density (units are counted in the density)
You measure its length, breath, height and mass. Then Density = Mass/(Length*Breadth*Mass) in the appropriate units.
if they are proportional
This is usually done by weighing. On Earth, mass and weight are proportional; in fact, balances are usually calibrated for mass units, even if some of them really determine the weight.
u find the common denominator
In a proportional relationship, y is directly proportional to x, meaning y = kx, where k is the constant of proportionality. To find k, we can use the given values: 14 = k(8). Solving for k, we get k = 14/8 = 1.75. Therefore, the equation for y in terms of x is y = 1.75x.
None, really, because a gallon is not a metric unit. A litre is the appropriate unit to use for measuring volumes.