Use the table to answer the question

x: -8, -1, -16, -4
y: -48, -6, -96, -24

Determine the unit rate using the table

1 answer

To determine the unit rate from the given table, we need to find the ratio of \( y \) to \( x \) for each pair of values.

The unit rate is calculated as:

\[ \text{Unit Rate} = \frac{y}{x} \]

Now, let's calculate the unit rate for each pair:

  1. For \( x = -8 \) and \( y = -48 \): \[ \text{Unit Rate} = \frac{-48}{-8} = 6 \]

  2. For \( x = -1 \) and \( y = -6 \): \[ \text{Unit Rate} = \frac{-6}{-1} = 6 \]

  3. For \( x = -16 \) and \( y = -96 \): \[ \text{Unit Rate} = \frac{-96}{-16} = 6 \]

  4. For \( x = -4 \) and \( y = -24 \): \[ \text{Unit Rate} = \frac{-24}{-4} = 6 \]

In all cases, the unit rate is consistently 6. Therefore, the unit rate based on the table is 6.