in the video game unicorn quest, players earn the same number of points for completing a level. Brianna completed 2 levels and earned 56 points.
how many points will Brianna earn for completing 4 levels? find and equivalent ratio.
points: 56 ?
levels: 2 4
To find the equivalent ratio, we can set up a proportion:
\(2\) levels = \(56\) points
\(4\) levels = ?
Cross multiply to solve for the missing value:
\(2 \times ? = 4 \times 56\)
\(?\ = 4 \times 56 / 2\)
\(?\ = 112\)
Therefore, Brianna will earn \(112\) points for completing \(4\) levels in Unicorn Quest.
The equivalent ratio is 56:112 or simplifying it to 1:2.
how many points does brianna earn for completing 1 level? find the unit rate.
points: ? 56
levels: 1 2
To find the number of points Brianna earns for completing 1 level, we can set up a proportion:
\(1\) level = ?
\(2\) levels = \(56\) points
Cross multiply to solve for the missing value:
\(1 \times 56 = 2 \times ?\)
\(56 = 2 \times ?\)
\(?\ = 56 / 2\)
\(?\ = 28\)
Therefore, Brianna will earn 28 points for completing 1 level in Unicorn Quest.
The unit rate is 28 points per level.
use the unit rate to find the number of points brianna will earn for completing 4 levels
If Brianna earns 28 points for completing 1 level in Unicorn Quest, we can use the unit rate of 28 points per level to find the total number of points she will earn for completing 4 levels.
Unit rate: 28 points per level
To find the total points for 4 levels:
\( 28 \text{ points/level} \times 4 \text{ levels} = 112 \text{ points} \)
Therefore, Brianna will earn 112 points for completing 4 levels in Unicorn Quest using the unit rate of 28 points per level.