Answer :
Given that Mrs.
Hawk assigns her students an average of no more than 15 questions on
each assignment. On their first 5 assignments Mrs. Hawk’s students had
11, 10, 13, 14, and 14 questions.
Let x be the number of questions she can have on the sixth assignment, then the inequality that Mrs. Hawk can use to determine the number of questions she can have on the sixth assignment is given by
[tex] \frac{11+10+13+14+14+x}{6} \leq15 \\ \\ \Rightarrow62+x\leq90 \\ \\ \Rightarrow x\leq28[/tex]
Let x be the number of questions she can have on the sixth assignment, then the inequality that Mrs. Hawk can use to determine the number of questions she can have on the sixth assignment is given by
[tex] \frac{11+10+13+14+14+x}{6} \leq15 \\ \\ \Rightarrow62+x\leq90 \\ \\ \Rightarrow x\leq28[/tex]