Bess and gina earn $45 per week for delivering flowers. bess worked for x weeks and earned an additional total bonus of $20. gina worked for y weeks. which expression shows the total money, in dollars, that bess and gina earned for delivering flowers?
45x + 20 + 45y
65x + 45y
45x − 20 + 45y
45x + 65y

Step-by-step explanation:

Let

x -----> the number of weeks worked by Bess

y ----> the number of weeks worked by Gina

we know that

The total money earned by Bess and Gina for delivering flowers, is equal to the sum of the number of weeks  worked by Bess and Gina. all multiplied by the weekly rate of $45 plus an additional total bonus of $20

so

The expression that represent this situation is

Distribute

Rewrite

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:

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !