Week 11

Question 1

The equation represents a direct variation if and only if

Answer 1

it can be written in the form y=kx

K is a nonzero constant called the constant of variation

Question 2

A relationship between x and y is a direct variation if and only if

Answer 2

it can be written in the form y=km, where k does not equal 0

Question 3

In a direct variation, the ration of y to x is

Answer 3

constant y/x exept when x=0
When x=0, we always have y=0 in direct variation

Question 4

Factor Therom

Answer 4

A number c is a zero of a polynomial f(x) if and only if x-c is a factor of f(x).

Question 5

We say that x varies directly with y if they are related by an equation of the following form.
x=ky

We also say that x is directly proportional to y.

Answer 5

Direct variation

Question 6

We say that x varies inversely with y if they are related by an equation of the following form.
x=k/y

We also say that x is inversely proportional to y.

Answer 6

Inverse variation

Question 7

We say that x varies jointly with y and z if they are related by an equation of the following form.
x=kyz

We also say that x is jointly proportional to y and z.

Answer 7

Joint variation

Question 8

A relationship between x and y is a ……… if and only if it can be written in the form y=kx , where k is not equall 0.
In a …….., the ratio of y to x is constant. y/x=k

Answer 8

direct variation

Question 9

A relationship between x and y is an ………. if and only if it can be written in the form y=k/x, where k is not equall 0.
In an ………, the product of and is constant. xy=k

Answer 9

inverse variation