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Christopher's Gaming Points Challenge: Calculating Completion Levels

Christopher, an enthusiastic gamer, aims to boost his gaming points from 430 to at least 2410 before bed. After earning 940 points per completed level, we need to determine the minimum levels Christopher must complete. By setting up an inequality, we find he needs to complete at least 3 levels. This exercise highlights real-life applications of linear equations, from gaming to everyday scenarios like temperature conversion and BMR calculations. Engage with your partner to explore more real-world uses of math concepts!

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Christopher's Gaming Points Challenge: Calculating Completion Levels

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  1. Warm Up Thursday January 23 For every level Christopher completes in his favorite game, he earns 940 points. Christopher already has 430 points in the game and wants to end up with at least 2410 points before he goes to bed. What is the minimum number of complete levels that Christopher needs to complete to reach his goal?

  2. Answer To solve this, let's set up an expression to show how many points Christopher will have after each level. Number of points =Levels completed × Points per level + Starting points Since Christopher wants to have at least2410 points before going to bed, we can set up an inequality. Number of points ≥2410 Levels completed × Points per level + Starting points ≥2410 We are solving for the number of levels to be completed, so let the number of levels be represented by the variable x . We can now plug in: x⋅940+430≥2410 x⋅940≥2410−430 x⋅940≥1980 x≥1980940≈2.11 Since Christopher won't get points unless he completes the entire level, we round 2.11 up to 3 . Christopher must complete at least 3 levels.

  3. Lets check our homework Put how many you missed out of the total 13 on the top of your worksheet.

  4. When do we ever use linear equations in real life? • Temperature Conversion http://www.mathscore.com/math/practice/Temperature%20Conversion/ • Exchange Rates http://www.x-rates.com/table/?from=USD&amount=1.00 • Cell Phones • http://www.verizonwireless.com/wcms/consumer/shop/prepaid.html • Travel http://www.budget.com/budgetWeb/html/en/deals/wendie.html?&ICID=homepage_billboard&IID=wendie_august2013 • http://autos.aol.com/cars-Ford-Focus-2013/specs/mpg/ These are only a few examples. Get with a partner and come up with at least two more.

  5. Here is a useful fact: BMR stands for Basal Metabolic Rate. It is the number of calories you burn when you are being completely still. We are going to do a little project to calculate what your personal BMR is and try to figure out if there is a linear relationship or not.

  6. Homework Complete your scatter plots and answer all the questions for the BMR Project

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