What would be an example of a direct variation?

Answer 1

A direct variation is a linear relationship that goes through the origin. The equation would be y=mx+b where b equals zero. (You could just say y=mx, or y=kx if you prefer).

Example: y = 60x
or
"How many seconds are there in x minutes?"

Answer 2

An example of a direct variation is as follows:

Interest is directly variation with time. i.e. whenever time period increases, the interest money also increases.

i.e. I is directly varied with N

Answer 3

Most purchases (except where there is a quantity discount) involve a "total cost" that varies directly with "amount purchased."

If you purchase twice as many gallons of gas, you pay twice as much.

The example involving interest works for simple interest, but not for compound interest. With compound interest, a period that is twice as long would result in MORE than twice as much interest. The interest earned during the first half of the longer period would itself earn interest during the second half, so more interest is earned during the second half than the first.

Answer 4

Interested on money you lend is i=Prt. i varies directly with P or r or t. Any one of them goes up i goes up, one goes down i goes down. inverse variation : r=i/Pt P goes up, r goes down.