Leo likes playing a video game where he has to zap zombies and turn them into statues before they invade a town. In the game, zombies hide everywhere. Leo’s goal is to clear all the zombies to make the town safe.
To advance to the next level he has to zap all the zombies in the level. Each level has the same number of zombies and the same number of points is earned for each zapped zombie. As players move through the levels the zombies get harder to zap.
Leo made the table below to show a relationship between the total number of zombies zapped and the number of points.
Level
2
4
6
8
10
12
Total Number of Zombies
70
140
210
280
350
420
Accumulated Points Earned
7,700
15,400
23,100
30,800
38,500
46200
1.
Each levels is increased by 2.
Zombies zapped increases by 70 for every 2 levels.
Points earned increases by 7,700 for every 70 Zombies zapped. 2.
• There is a ratio of 2 levels: 70 zapped Zombies. • There is a ratio of 6 levels: 210 zapped Zombies.
• There is a ratio of 12 levels: 420 zapped Zombies.
• There is a ratio of 1 level: 35 Zombies.
3. There is a ratio of 70 Zombies zapped: 7,700 points earned. There is a ratio of 210 Zombies
4. There is a rate between the levels and Zombies zapped. There is a rate between Zombies zapped and points earned. There is a rate between levels and points earned.
5. All numbers are increasing by a constant factor. As the levels increase by two the number of Zombies zapped, increases by 70, and the number of points increases by 7,700.
These rates can also be described as follows: for every level you have to zap 35 Zombies; for every Zombie zapped you score 110 points, and for every level you complete you score 3,850 points.
6.
420
350
280
210
140
70
2 4 6 8 10 12
The