Sienna has $8 and is saving $3 per week. Jacob has $6 and is saving $4 per week. Which model represents the equation that can determine when Sienna will have the same amount of money as Jacob?
8 Negative x tiles and 3 positive 1 tiles = 6 positive x tiles and 4 positive 1 tiles
8 x tiles and 3 positive 1 tiles = 6 x tiles and 4 positive 1 tiles
3 x tiles and 8 positive 1 tiles = 4 x tiles and 6 positive 1 tiles
3 negative x tiles and 8 positive 1 tiles = 4 x tiles and 6 positive 1 tiles
The correct model that represents the equation is:
8 x tiles and 3 positive 1 tiles = 6 x tiles and 4 positive 1 tiles
This is because we are comparing the total amount of money each person has (the number of x tiles) and the rate at which they are saving money (the number of positive 1 tiles). We want to find the point at which they have the same amount of money, so we set the two expressions equal to each other.
The correct model that represents the equation that can determine when Sienna will have the same amount of money as Jacob is:
3 x tiles and 8 positive 1 tiles = 4 x tiles and 6 positive 1 tiles.