https://file.aiquickdraw.com/mathbot/file/1727372259871z1sm8a1i.jpg

Let's analyze the table and solve the problem step by step.

**The table provided:**

| Slices of pizza | 18 | 20 | 60 |
|-----------------|----|----|----|
| Number of people|  3 |  4 | 10 |

We are asked to determine:
1. If the ratios of the slices of pizza to the number of people are equivalent.
2. Whether the relationship between the slices of pizza and the number of people is proportional or not.

### Step 1: Calculate the ratios
We will compute the ratio of the slices of pizza to the number of people for each set of values:

- For 18 slices and 3 people:
  \[
  \frac{18}{3} = 6
  \]

- For 20 slices and 4 people:
  \[
  \frac{20}{4} = 5
  \]

- For 60 slices and 10 people:
  \[
  \frac{60}{10} = 6
  \]

### Step 2: Analyze the ratios
The ratios are:
- 6 for the first set,
- 5 for the second set,
- 6 for the third set.

Since not all the ratios are equal (6 ≠ 5), **the ratios are not equivalent.**

### Step 3: Determine the relationship
Since the ratios are not equivalent, this means that the relationship between the slices of pizza and the number of people is **non-proportional**. 

So, the correct answers would be:
- Ratios are **not equivalent**.
- The relationship is **nonproportional**.

---

Would you like further explanation, or have any additional questions?

Here are 5 related questions for deeper understanding:
1. What is the definition of a proportional relationship in math?
2. How do you graph a proportional relationship?
3. Can a relationship between two variables change from proportional to non-proportional?
4. How would you verify if a relationship is linear based on ratios?
5. What are examples of proportional relationships in everyday life?

**Tip**: Always check if ratios remain constant to determine proportionality!

The following table shows the number of people and the slices of pizza they buy. Slices of pizza: 18, 20, 60. Number of people: 3, 4, 10. The ratios of the slices of pizza to the number of people are not equivalent. What is the relationship between the number of slices of pizza and the number of people?

Learn how to identify non-proportional relationships using ratios. This example analyzes the number of slices of pizza (18, 20, 60) and the number of people (3, 4, 10) to determine if their relationship is proportional. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation