Dina wants to earn money to save for a car so she decided to make beaded bracelets to sell at a local Farmer’s Market. She rented a table for $15 and set up her shop. Each bracelet that she makes cost approximately $1.75 for materials. She sells each bracelet for $6.00. How much profit will she make from each bracelet, not including the table rental?

(A.) $1.75

(B.) $6.00

(C.) $4.25

(D.) $7.75

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:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have