In the video game Dragons Den, players earn the same number of points for completing a level. Amara completed 3 levels and earned 24 points.
how many points does Amara earn for completing 1 level? find an equivalent ratio.
points ? 24
levels 1 3
Amara earned 8 points for completing each level.
Equivalent ratio:
points:levels
8:1
complete the equation to describe the relationship.
number of points ? (+ - x /) number of levels = unit rate
24 3 8
24 / 3 = 8
The equation to describe the relationship is:
number of points รท number of levels = 8
how can you use the unit rate to show that 24 to 3 is equivalent to 8 to 1?
1 ? (x3, x8, /3, /8) = 8
3 ? (x3, x8, /3, /8) = 24
To show that 24 to 3 is equivalent to 8 to 1 using the unit rate:
1) 3 x 8 = 24
So, if you multiply 3 by the unit rate of 8, you get the total points earned, which is 24.
2) 1 x 8 = 8
So, if you multiply 1 by the unit rate of 8, you get the number of points earned for completing 1 level, which is 8.
now use the unit rate to find the number of points amara earns for completing 4 levels
points 8 24 ?
levels 1 3 4
To find the number of points Amara earns for completing 4 levels using the unit rate of 8 points earned for 1 level:
4 x 8 = 32
Therefore, Amara would earn 32 points for completing 4 levels.