The cost of a package of ground beef (y) is directly proportional to its weight in ounces (x). A 14-ounce package costs $7. Write a direct variation equation to represent this situation.

Step-by-step explanation:

The standard equation of direct variation is

y = kx

where k = constant of variation

We start with

y = kx

Since we are give one ordered pair, we use its coordinates for x and y, and we solve for k. We are told that when x = 14 ounces, y = $7.

7 = k * 14

k = 7/14

k = 1/2

Now that we know k = 1/2, we can write the direct variation equation:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

answer:

3 bags of apples and 2 bags of oranges.

step-by-step explanation: