Question

Analyzing Linear Relationships
Choose a relationship model that will reach $0 in the same number of days as this scenario:

Mika has $12 and spends $2 each day.
y = –2x – 12
y = –3x + 18
y = –4x + 12
y = –12x + 2

Answer 1

Mika's model is y = −2x + 12. Set y = 0: 0 = −2x + 12 → x = 6 days.

Check which given equation gives x = 6 when y = 0:
- 0 = −2x − 12 → x = −6
- 0 = −3x + 18 → x = 6 ← matches
- 0 = −4x + 12 → x = 3
- 0 = −12x + 2 → x = 1/6

So y = −3x + 18 is the correct choice.