Gabrielle is saving up for a vacation she has already saved a hundred and we'll save X dollars every week for the next ten weeks Gabrielle states that she will have saved at least 2,000 at the end of the week's.

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:

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

answer: y=4000x+14000

step-by-step explanation: