Question

Mrs. Hawk assigns her students an average of no more than 5 questions on each assignment. On their first 5 assignments Mrs. Hawk’s students had 11, 10, 13, 14, and 14 questions. Write and solve an inequality that Mrs. Hawk can use to determine the number of questions she can have on the sixth assignment

Answer 1

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

$\frac{11+10+13+14+14+x}{6} \leq15 \\ \\ \Rightarrow62+x\leq90 \\ \\ \Rightarrow x\leq28$