Question

Ed explains that the equation y = 1.5x describes the proportional relationship between the number of hours, y, that he spends on his phone and the number of days, x. Select the three statements that represent the same proportional relationship.

Answer 1

The three statements that represent the same proportional relationship as y = 1.5x are y = 3x/2, 2y = 3x, and 6y = 9x. These statements show that the ratio of y to x is always 1.5, regardless of the specific values of y and x.

Step-by-step explanation:

The three statements that represent the same proportional relationship as y = 1.5x are:

1. y = 3x/2
2. 2y = 3x
3. 6y = 9x

To understand why these statements represent the same proportional relationship, we can rearrange the equation y = 1.5x to y/x = 1.5. This shows that the ratio of y to x is always 1.5, regardless of the specific values of y and x. This means that if x doubles, y will also double. Similarly, if x is divided by 3, y will also be divided by 3.