The montanez family is a family of four people. they have used 3,485.78 gallons of water so far this month. they cannot exceed 7,250.50 gallons per month during drought season. write an inequality to show how much water just one member of the family can use for the remainder of the month, assuming each family member uses the same amount of water every month.

4x + 3,485.78 ≤ 7,250.50
4x − 3,485.78 ≤ 7,250.50
4x − 3,485.78 ≥ 7,250.50
4x + 3,485.78 ≥ 7,250.50

4x+3485.78≤ 7250.50

Step-by-step explanation:

The family cannot use more than 7250.5 gallons

Let the total family water used be y

Water used per person from now on be x

y=4x+3485.78

y≤ 7250.50

Substitute the answer into the inequality

4x+3485.78≤ 7250.50

Step-by-step explanation:

Let x be the amount of water used for the remainder of the month by each member of the family.

Given : The Montanez family is a family of four people.

Then , the total amount of water used for the remainder of the month by family is given by the expression :-

Then , the inequality to show how much water just one member of the family can use for the remainder of the month is given by :-

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".