Question

Use the table and image to answer the question.

x-values (people) y-values (arepas)
1 5
2 10
3 15
4 20
Plot the missing equivalent ratios on the coordinate plane.

(1 point)
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Answer 1

To plot the missing equivalent ratios based on the provided x-values (people) and y-values (arepas), we first note the ratios given in the table:

- For 1 person, there are 5 arepas.
- For 2 people, there are 10 arepas.
- For 3 people, there are 15 arepas.
- For 4 people, there are 20 arepas.

These points can be represented as coordinates on a coordinate plane:

1. (1, 5)
2. (2, 10)
3. (3, 15)
4. (4, 20)

Next, to find equivalent ratios, we can observe that the ratio of arepas to people is constant, calculated as follows:

- For 1 person: \( \frac{5}{1} = 5 \)
- For 2 people: \( \frac{10}{2} = 5 \)
- For 3 people: \( \frac{15}{3} = 5 \)
- For 4 people: \( \frac{20}{4} = 5 \)

These all simplify to a ratio of 5 arepas per person.

Now, we can extend this table by plotting equivalent ratios for other values of x (people) such as 0, 5, and 6.

Calculating additional values:
- For 0 people: 0 arepas → (0, 0)
- For 5 people: 25 arepas → (5, 25)
- For 6 people: 30 arepas → (6, 30)

The complete set of coordinates to plot will thus include:

1. (0, 0)
2. (1, 5)
3. (2, 10)
4. (3, 15)
5. (4, 20)
6. (5, 25)
7. (6, 30)

### To plot these points:

1. Draw a Cartesian coordinate system with the x-axis labeled "People" and the y-axis labeled "Arepas."
2. Mark the points listed above on the plane:

- (0, 0)
- (1, 5)
- (2, 10)
- (3, 15)
- (4, 20)
- (5, 25)
- (6, 30)

These points can be plotted to visualize the linear relationship – as the number of people increases, the number of arepas increases consistently at a constant ratio.

You can now conclude by drawing a straight line through the points to represent this linear relationship!