Answers
A. Yes
B. Yes
C. No
D. No
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x = number of minutes
y = amount of rope uncoiled
At first we have 50 feet of uncoiled rope. So basically at time x = 0 we have y = 50 feet of uncoiled rope. The point (0,50) is on the line. After 5 minutes, 5*10 = 50 feet of rope is coiled up, as its coiled at 10 ft/min. After these 5 minutes, we have 0 feet of uncoiled rope. The point (5,0) is on the line.
The line goes through (0,50) and (5,0)
Now go through the window options and see which provide the right window to be able to see the line segment with the endpoints mentioned.
- Choice A = yes, because y = 50 is part of the interval [tex]0 \le y \le 75[/tex]
- Choice B = yes, similar reasons as choice A
- Choice C = no, due to the fact that y = 50 is too large and outside the interval [tex]0 \le y \le 10[/tex]
- Choice D = no, same reasoning as choice C
