Donte is told that for a particular math problem the value of y is always 8 times the value of donte writes the equation y=8x to show the relationship between z and y what is the constant of proportionay
If the value of y is always 8 times the value of x, then the equation showing the relationship between z and y would be z = ky, where k is the constant of proportionality.
Since the given information states that y = 8x, we can substitute this value into the equation for z to get:
z = k(8x)
Therefore, the constant of proportionality would be 8k.
To find the constant of proportionality, we need to compare the ratio of the dependent variable (y) to the independent variable (x) in the given equation.
In this case, the equation is y = 8x, where y is 8 times the value of x.
The constant of proportionality is the coefficient in front of x, which is 8 in this equation. Therefore, the constant of proportionality is 8.
To find the constant of proportionality, we first need to understand the relationship between the variables. In this case, the problem states that the value of y is always 8 times the value of x, which can be represented by the equation y = 8x.
Now, let's rewrite the equation in the more general form of a proportionality: y = kx, where k represents the constant of proportionality.
Comparing this general form to the given equation, we can see that k = 8. Therefore, the constant of proportionality is 8.