Question

Containers of gochujang, a Korean chili sauce, are sold at a market. The scatter plot shows the relationship between the cost of 10 different containers and the amount of sauce in each container.
A line of best fit is drawn through the data. Based on the line of best fit, what is the approximate cost per ounce of a container of gochujang at the market?
10
Cost ($)
2
→ X
24
6 8 10 12 14 16 18
Amount of Sauce in Container (oz)

Answer 1

To estimate the cost per ounce of a container of gochujang using the line of best fit on the scatter plot, you need to determine the slope of the line. The slope represents the cost divided by the amount of sauce, which gives you the cost per ounce.

Here's how you can approximate the cost per ounce based on the details provided:

1. **Identify Points on the Line of Best Fit**: Look for two clear points on the line. For instance, if one point on the line is at (Amount of Sauce, Cost) = (10 oz, $8) and another point is (16 oz, $12), you can use these points to find the slope.

2. **Calculate the Slope**: Use the formula for slope (m) which is (y2 - y1) / (x2 - x1), where:
- (x1, y1) is the first point.
- (x2, y2) is the second point.

For this example:
\[
m = \frac{12 - 8}{16 - 10} = \frac{4}{6} = \frac{2}{3}
\]
This means the cost increases by about $0.67 for every ounce of sauce.

3. **Convert the Slope to Cost per Ounce**: The slope you calculated represents the cost per ounce. Thus, if the slope is 2/3, then the approximate cost per ounce of a container of gochujang is $0.67 per ounce.

4. **Final Estimate**: You can round or convert this value into a more familiar format. The approximate cost per ounce based on your calculation would be around $0.67.

To conclude, if you can provide the specific points from the line of best fit on the scatter plot mentioned, it would provide a more precise answer. But based on this methodology, you should be able to determine the cost per ounce accordingly!