As a waitress, Valerie averaged $51.50 per day in tips over the course of five days. Over
the first four days, Valerie made $37.75,
$29.15, $94.25, and $44.85 in tips. How
much money did she make in tips on the
fifth day?

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:

if you explain the the question more correctly i might be able to answer this better

step-by-step explanation:

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.

you could deduce the conclusion directly using the facts pertaining to the specific situation.

hope this .