Wilmer spends at least 13 hours reading for his assignments each week, plus 1 hour completing each Reading Response assignment. The inequality that represents the total number of hours, y, Wilmer reads for his various assignments each week is y≥x+13, where x represents the number of Reading Response assignments he completes.
This week, Wilmer can spend only 5 hours total reading for his various assignments.
Which explanation correctly analyzes whether there is a solution for this scenario?
There is no solution. For the inequality to be true, the value of x has to be negative. This is impossible because Wilmer can't have a negative number of Reading Response assignments.
The ordered pair (−8,5) is a solution to the inequality y≥x+13. This ordered pair shows that Wilmer can complete 8 Reading Responses in the 5 hours.
The ordered pair (5,18) is a solution to the inequality y≥x+13. This ordered pair shows that Wilmer can complete 18 Reading Responses in the 5 hours.
There is no solution. For the inequality to be true, the value of x has to be a fraction. This is impossible because Wilmer can't have a fractional number of Reading Response assignments.