The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: part a: during what interval(s) of the domain is the water balloon's height increasing? (2 points) part b: during what interval(s) of the domain is the water balloon's height staying the same? (2 points) part c: during what interval(s) of the domain is the water balloon's height decreasing the fastest? use complete sentences to support your answer. (3 points) part d: use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds. use complete sentences to support your answer. (3 points)

10000

step-by-step explanation: divide by 2,

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:

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a