Question

UH, a little help, please???

Problem Situation:
Eric is adding water to a 60-gallons pool.
The pool already has 12 gallons of water, and he wants to fill it to at least 27 gallons. The water flows at a rate of 6 gallons per minute.
How many minutes, x, will it take for Eric to fill the pool with at least 27 gallons of water?

Inequality that represents this situation:
27 ≤ 12 + 6x

To solve the inequality, you can begin by solving the equation as shown.

Drag a diagram to each row of the table to show which number line represents all of the solutions for the inequality and which number line represents all of the solutions for the problem situation.

!!!!PLEASE TELL ME WHAT LETTER GOES IN WHAT BOX!!!!

Answer 1

He will need to wait 3 more minutes so that the 60-gallon pool will be filled up to 30 gallons.

Explanation:

He said that he wanted to be at LEAST 27 gallons, so it's ok for it to be 30 gallons. (Hope this helps)

Answer 2

All possible solutions for the inequality is number line d.

All possible solutions for the problem situation is number line c.

In Mathematics, an inequality is a relation that compares two or more numbers and variables in an algebraic equation based on any of the following inequality symbols:

• Less than or equal to (≤).
• Greater than (>).
• Greater than or equal to (≥).
• Less than (<).

Based on the information provided, we can logically deduce that an inequality that represents this situation can be written as follows;

27 ≤ 12 + 6x

27 - 12 ≤ 6x

15 ≤ 6x

15/6 ≤ x

x ≥ 15/6

x ≥ 2.5

Therefore, the solution set for the inequality is from 2.5 to infinity or [2.5, ∞).

For the solutions for the problem situation, we have;

When x is 8:

Volume = 12 + (6 × 8)

Volume = 12 + 48

Volume = 60 gallons (True)

When x is 9, we have;

Volume = 12 + (6 × 9)

Volume = 12 + 54

Volume = 66 gallons (False).

Therefore, the solution set for the problem situation is from 2.5 to 8 or [2.5, 8].