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?

Question

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

Answer 1

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.