## 19 Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solve an inequality to show how many hours of television Julia can still watch this week. 20 You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. When you earn 100 points, you get a free movie pass. Currently, you have 40 advantage points. Write an equation to model the number of movies m you have to watch before you earn a free movie pass. Solve the equation. Show your work. 21 Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. My answers: 19 T

October 14, 2019// Blog//

19

If she has already watched 1.5 hours and she can only watch 5 hours per week, then we have the inequality:

1.5 + T ≤ 5

where T is is the number of hours she can watch more before reaching her limit

20

If he needs 100 points, already has 40 and earns 2 for every movie, we have the inequality:

40 + 2m ≥ 100

where m is the number of movies he needs to watch

21

We can have the equation:

x + 1 = x + 2 – 1

This would result to:

x + 1 = x + 1

which have the same terms on both sides.

Further, the equation would be:

0 = 0