Use the table to answer the question.x y 3 −9 5 −15 7 −21 Given the table of values, identify the constant of proportionality.(1 point)The constant of proportionality is .
The constant of proportionality can be found by dividing the values of y by the corresponding values of x.
For example, when x = 3, y = -9. Therefore, the ratio is -9/3 = -3.
Similarly, when x = 5, y = -15. Therefore, the ratio is -15/5 = -3.
And when x = 7, y = -21. Therefore, the ratio is -21/7 = -3.
The constant of proportionality is -3.
To find the constant of proportionality, we need to analyze the relationship between the x and y values in the table. Let's examine the ratio of y to x for each pair of values:
For the first pair (x=3, y=-9), the ratio is -9/3 = -3.
For the second pair (x=5, y=-15), the ratio is -15/5 = -3.
For the third pair (x=7, y=-21), the ratio is -21/7 = -3.
As we can see, the ratio of y to x is constant for each pair, and it is equal to -3. Therefore, the constant of proportionality is -3.
To find the constant of proportionality, we need to identify a pattern between the x-values and the corresponding y-values in the table.
In this case, we can see that as the x-values increase by 2 (from 3 to 5 to 7), the corresponding y-values decrease by 6 (from -9 to -15 to -21).
This means that for every increase of 2 in the x-values, there is a decrease of 6 in the y-values.
To find the constant of proportionality, we divide the change in y-values by the change in x-values. In this case, (-6)/2 = -3.
Therefore, the constant of proportionality in this table is -3.