Question

Answer this quickly PLS. 100 pts

do the values in the table represent a proportional relationship?
x 1 2 3 4
y 2.5 5 7.5 10
select from the drop down menu to correctly complete the statement. All of the y-values Choose a constant multiple of the corresponding x-values, so the relationship Choose.

Answer 1

Answer: first is ARE and second is PROPORTIONAL

Step-by-step explanation: Answers confirmed correct on test

Answer 2

All of the y-values are a constant multiple of the corresponding x-values, so the relationship is proportional.

We can see that for every increase of 1 in x, the value of y increases by a constant factor of 2.5. This means that the ratio of y to x is always the same, which is the definition of a proportional relationship.

In a proportional relationship, the ratio of the two variables is constant. This means that as one variable increases or decreases, the other variable changes in proportion to the first variable. In other words, the relationship between the two variables can be expressed by a linear equation in the form y = kx, where k is the constant of proportionality.

One way to test if a relationship is proportional is to plot the data points on a graph and see if they fall on a straight line that passes through the origin (0,0). If the points fall on a straight line, then the relationship is proportional.

Another way to test if a relationship is proportional is to calculate the ratio of the y-values to the corresponding x-values. If the ratio is the same for all data points, then the relationship is proportional.