Andrew's buss pass had $35 on it. Each time he rides the bus $1.50 is deducted from his card. Which equation best fits this situation in slope intercept form?

Question

Responses

y= -1.5x+35
y= -1.5x+35

y= 1.5x-35
y= 1.5x-35

y= 35x+11.50
y= 35x+11.50

y= -35x-1.50

Answer 1

To represent Andrew's situation in slope-intercept form (y = mx + b), where:

• \( y \) is the balance on the bus pass,
• \( x \) is the number of rides taken,
• \( m \) is the slope (the change in y as x increases),
• \( b \) is the y-intercept (the starting balance).

1. Starting balance \( b \): Andrew starts with $35, so \( b = 35 \).
2. Slope \( m \): Each ride costs $1.50, so for every ride (each increase in \( x \)), the balance decreases by $1.50. Therefore, the slope \( m = -1.50 \).

Putting this together, we have:

\[ y = -1.5x + 35 \]

Thus, the correct equation that best fits this situation is:

y = -1.5x + 35.