12. Mr. Ellis needs to drain his above ground pool before the winter. The graph below represents the relationship between the number of gallons of water remaining in the pool and the number of hours that the pool has drained. How many hours will it take for the all the water to be completely drained out of the pool?​

14 hrs

Step-by-step explanation:

Graphically we can see the line decreases one grid vertically (720 gal) for every one grid horizontally (1 hour)

If we imagine extending the line to the right, the next dot will occur at 12 hrs and 1440 gallons followed by the final dot on the x axis (zero gallons) at 14 hrs

We could also write an equation in slope intercept form

b = 10080 gallons

m = -720 gal/hr

y = -720x + 10080

we want to know the hours x when gallons y = 0

0 = -720x + 10080

720x = 10080

x = 10080/720 = 14 hrs

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: