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 s
olve 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<5 T - 1.5 < 5 - 1.5 T = 3.5 20 40 + 2m = 100 40 + 2m - 40 = 100 - 40 2m = 60 2m ÷ 2 = 60 ÷ 2 m = 30 21. ????????
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
