Question

roy starts with $120 in his bank account. he takes out $15 each week to spend.
is there a proportional relationship between the account balance, y, and the number of weeks, x?

number of weeks, x | account balance (dollars), y
0 | 120
1 | 105
2 | 90
3 | 75

y = 120 - 15x

yes
no

Explanation:

Step1: Recall proportionality rule

A proportional relationship follows $y=kx$ (no constant term), and passes through $(0,0)$.

Step2: Analyze given equation

The equation is $y=120-15x$, which has a constant term $120$.

Step3: Check initial point

When $x=0$, $y=120
eq0$, so it does not pass through the origin.

Answer:

No