Question

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?

Answer 1

355 is the constant of proportionality

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

Answer 2

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.