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?
Tammy rents an apartment close to her school campus. The equation that is given is this one:
r = 355m,
where r is the amount spend on the rent.
m is the number of months.
In order to get the constant proportionality of r to m in this relationship, then we can set a constant k variable.
r = 355 m (k)
k = 1 r / 355 m
1 hour spent, it takes you to spend 355.
Answer:
355 is the constant of proportionality
Step-by-step explanation:
The direct proportional relationship says that:
\(y \propto x\)
then, the equation is of the form is given by:
\(y = kx\) where k is the constant of proportionality.
As per the statement:
Tammy rents an apartment close to her school campus. The amount that she spends on rent is given by the equation :
r = 355 m
where,
r is the amount spent on rent and
m is the number of months she stays in the apartment.
By definition of proportional relationship:
\(r = 355 m\)
⇒ k = 355 m
Therefore, the constant of proportionality (r to m) for this proportional relationship is, 355