Donte is told that for a particular math problem, the value of y is always 8 times the value of x. Donte writes the equation y=8x to show the relationship between x and y. What is the constant of proportionality?
The constant of proportionality is the number that relates the values of x and y. In the equation y=8x, the constant of proportionality is 8. Each time x increases by 1, y increases by 8, so the ratio between y and x is always 8.
The constant of proportionality in this equation is 8.
The constant of proportionality represents the ratio between two proportional quantities. In this case, the relationship between y and x is given as y being always 8 times the value of x.
To find the constant of proportionality, we need to compare the corresponding values of y and x. The equation y = 8x represents this relationship.
We can see that for every value x, the corresponding value of y is obtained by multiplying it by 8. Therefore, the constant of proportionality in this equation is 8.
In general, if we have an equation in the form y = kx, where k is a constant, the value of k represents the constant of proportionality. In this case, the constant of proportionality is 8.