In (A), we have 9 : 2.
Multiply by 2, we get 18 : 4
In (B), we have 36 : 8.
Divide by 2, we get, 18 : 4.
In (D), we have 54 : 12.
Divide by 3, we get, 18 : 4.
Hence, (C) is not equivalent to the given statement.
Answer:
Table C
Step-by-step explanation:
Given
Table A to D
Required
Which shows a proportional relationship
To do this, we make use of:

Where k is the constant of proportionality.
In table (A)
x = 2, y = 4



x = 4, y = 9



Both values of k are different. Hence, no proportional relationship
In table (B)
x = 3, y = 4



x = 9, y = 16



Both values of k are different. Hence, no proportional relationship
In table (C):
x = 4, y = 12



x = 5, y = 15



x = 6, y = 18



This shows a proportional relationship because all values of k are the same for this table
Answer:
x = 4
Step-by-step explanation:
1.5(x + 4) – 3 = 4.5(x – 2)
Distributive property
1.5x + 6 - 3 = 4.5x - 9
1.5x + 3 = 4.5x - 9
1.5x - 4.5x = -9 -3
-3x = -12
x = 4
Answer:
The system of equations has one solution at (-4, 4).
Step-by-step explanation:
We are given the system of equations:

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

Therefore, our system now becomes:

Now, we can add these two equations together and solve for y.

Now, we can substitute our value for y into one of the equations and solve for x.

Therefore, our final solution is (-4, 4).