Final Answer:
Yes, x and y are proportional.
Explanation:
Proportionality is an equation between two variables that states that their ratio is constant. In the given equation, the ratio of x and y is 4/10, which is a constant. This implies that the two variables, x and y, are proportional to each other.
To determine the proportionality of two variables, we must first understand the meaning of each variable. In this equation, x is a sequence of numbers that increases by one each time and y is a sequence of numbers that increases by two each time. Therefore, the ratio between x and y will be a constant.
To further confirm the proportionality of x and y, we can calculate the ratio of each pair of numbers in the sequence. For example, if we take the first two pairs of numbers, 1 and 7, the ratio between them is 1:7 or 1/7. If we take the second two pairs of numbers, 2 and 8, the ratio between them is 2:8 or 1/4. If we take the third two pairs of numbers, 3 and 9, the ratio between them is 3:9 or 1/3. Finally, if we take the fourth two pairs of numbers, 4 and 10, the ratio between them is 4:10 or 1/2.
As we can see, the ratio of each pair of numbers in the sequence is a constant, which implies that the two variables, x and y, are proportional. To further confirm this, we can also calculate the slope of the graph of the two variables. The slope of the graph of the two variables should be a constant since the two variables are proportional.
Therefore, we can conclude that x and y are proportional to each other.