Tammy rents an apartment close to her school campus. The amount that she spends on rent is given by the equation r = 355m, where r is the amount spent on rent and m is the number of months she stays in the apartment. What is the constant of proportionality (r to m) for this proportional relationship?
The constant of proportionality (r to m) for this proportional relationship is 355.
The constant of proportionality, denoted by k, represents the ratio of the dependent variable (r) to the independent variable (m) in a proportional relationship. In this case, the equation r = 355m represents a direct proportional relationship between the amount spent on rent (r) and the number of months stayed in the apartment (m).
To find the constant of proportionality, we can rearrange the equation to solve for k. Dividing both sides of the equation by m, we get:
r/m = 355
So, the constant of proportionality for this relationship is 355.
To find the constant of proportionality between the amount spent on rent (r) and the number of months stayed in the apartment (m), we can use the given equation:
r = 355m
In this equation, the constant of proportionality is the number that relates the two variables r and m. It is the coefficient of m, which is 355 in this case.
Therefore, the constant of proportionality for this relationship is 355.