Ateacher collects data on the number of hours, s, his students spend studying and the number of hours, t, they spend watching tv each day. he finds that there is a negative linear association between s and t that is best modeled by the equation s=−0.5t+3.6 .
what is the meaning of 3.6 in this equation?
the model suggests that students study about 3.6 hours each day.
according to the model, for each additional hour spent watching tv, a student will spend about 3.6 fewer hours studying.
according to the model, a student who does not watch tv studies about 3.6 hours each day.
the model predicts that students watch about 3.6 hours of tv each day.

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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: