Question

Use the table to answer the question
x: -8, -1, -16, -4
y: -48, -6, -96, -24

Determine the unit rate using the table

Answer 1

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**.