Question

Mia found the relationship between the quantities in the table. Her work is shown below.



Multiply x by 5 to get y.



A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 2, 3, 4, 5. Column 2 is labeled y with entries 50, 100, 150, 200, 250.

What error did Mia make?
She should have added 50 to the x-values to get the y-values.
She should have added 5 to the x-values to get the y-values.
She should have multiplied the x-values by 50 to get the y-values.
She should have multiplied the x-values by 5 to get the y-values.

Answer 1

To determine the correct relationship between the x-values and y-values in the table, let’s analyze the provided pairs:

- For \( x = 1 \), \( y = 50 \)
- For \( x = 2 \), \( y = 100 \)
- For \( x = 3 \), \( y = 150 \)
- For \( x = 4 \), \( y = 200 \)
- For \( x = 5 \), \( y = 250 \)

According to the values in the table, we can see that \( y \) is actually \( y = 50 \times x \) because:

- \( 1 \times 50 = 50 \)
- \( 2 \times 50 = 100 \)
- \( 3 \times 50 = 150 \)
- \( 4 \times 50 = 200 \)
- \( 5 \times 50 = 250 \)

Mia stated that you should "multiply x by 5 to get y." This is incorrect because multiplying \( x \) by 5 does not yield the \( y \) values shown in the table.

Therefore, the correct option is:
**She should have multiplied the x-values by 50 to get the y-values.**