The graph displays the cost per ounce of can peas. Use the grab to determine the unit rate of the proportional relationship

1 answer

To determine the unit rate from a graph displaying the cost per ounce of canned peas, you would typically look for the slope of the line if it’s a linear relationship. The unit rate represents the cost for one ounce, which is often represented as "cost per ounce."

Here’s how you can find the unit rate using the graph:

  1. Identify two points on the line where the cost per ounce is indicated. For example, let’s say the graph shows that 10 ounces cost $2.00 and 20 ounces cost $3.00.

  2. Calculate the unit rate by dividing the total cost by the number of ounces. For example:

    • For the point (10 ounces, $2.00): \[ \text{Unit Rate} = \frac{\text{Total Cost}}{\text{Number of Ounces}} = \frac{2.00}{10} = 0.20 \text{ per ounce} \]

    • For the point (20 ounces, $3.00): \[ \text{Unit Rate} = \frac{3.00}{20} = 0.15 \text{ per ounce} \]

  3. You can also look for the y-intercept if it’s in a format like \(y = mx + b\), where \(m\) is the slope (cost per ounce) and \(b\) is the y-intercept (fixed cost, if any).

The key takeaway is to find the ratio of cost to the number of ounces and that will give you the unit rate of cost per ounce. If you can provide specific points from the graph or any numerical data, I can help you calculate the exact unit rate!