Rewrite 2/5 : 1/2 as a unit rate

= 0.8 1 per 2

Showing Work

This is a fraction equal to

2 1 ÷ 2.5 2

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

2 1÷ 2.5

2.5 2÷ 2.5

=  

0.8 1

1 2

=  

0.8 1

2

= 0.8 1 per 2

3

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: