Amy is attending a trekking camp. She walks from her tent to a hilltop in 3 hours. She has a picnic with her friends on the hilltop for 5 hours. Amy walks back to her tent in 2 hours. Which graph best represents the ddistance, y, in miles, traveled by Amy for a certain amount of time, x, in hours?
10
9
8
7
Amy's
6
Distance from 5
Tent
(mi)
2
1 2 3 4
5 6 7 8 9 10
Time (hr)
у
101
9
8
Amy
6
Distance from s
Tent
(mi)
0
1 2 3 4 5 6 7 8 9 10
Time (hr)
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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: