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, 5)
- (2, 10)
- (3, 15)
- (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:
- (0, 0)
- (1, 5)
- (2, 10)
- (3, 15)
- (4, 20)
- (5, 25)
- (6, 30)
To plot these points:
- Draw a Cartesian coordinate system with the x-axis labeled "People" and the y-axis labeled "Arepas."
- 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!
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