https://file.aiquickdraw.com/mathbot/file/1724377119879eke8f3sp.jpg

To determine if the relationship shown in the scatter plot is proportional, we need to examine if the points form a straight line through the origin (0, 0) and if the ratio between the earnings and the number of days worked is consistent.

From the scatter plot provided, we can identify the points as follows:

1. (0, 0) - This would be an implied point for proportionality.
2. (1, 30)
3. (2, 60)
4. (3, 90)
5. (4, 120)

Based on these points, let's check the ratio of earnings to days worked:

- For 1 day, earnings are $30 → Ratio = $ \frac{30}{1} = 30 $
- For 2 days, earnings are $60 → Ratio = $ \frac{60}{2} = 30 $
- For 3 days, earnings are $90 → Ratio = $ \frac{90}{3} = 30 $
- For 4 days, earnings are $120 → Ratio = $ \frac{120}{4} = 30 $

Since the ratio of earnings to days worked is consistent (always 30), and the points lie on a straight line passing through the origin, we can conclude that this is a proportional relationship. 

Would you like more details or have any questions?

Here are some related questions:

1. How can we express this proportional relationship as an equation?
2. What happens to the earnings if Jio works for 5 days?
3. How would the graph look if the relationship was not proportional?
4. Can proportional relationships be represented with curved lines?
5. What is the importance of the constant ratio in determining proportionality?

**Tip:** When determining proportionality from a graph, always check for a constant ratio and a straight line passing through the origin.

Explore how to determine if a relationship is proportional using a scatter plot analysis. Learn about consistent ratios and straight-line criteria through practical examples and explanations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation