interpret this equation: The number of parking spots (y) in the local town (x) years from now can be modeled by the equation below. How many spots are there right now? y = 1000x + 6000

Answer 1

The equation provided is \( y = 1000x + 6000 \), where:

• \( y \) represents the number of parking spots in the local town,
• \( x \) represents the number of years from now.

To interpret the equation, let's analyze its components:

1. The Constant (6000): When \( x = 0 \) (which represents the present time), the equation simplifies to: \[ y = 1000(0) + 6000 = 6000 \] This means that the current number of parking spots in the local town is 6000.

2. The Coefficient of \( x \) (1000): This part of the equation indicates the rate of change in the number of parking spots per year. Specifically, for every year that passes, the number of parking spots is expected to increase by 1000.

In summary, the equation tells us that the local town currently has 6000 parking spots, and this number is projected to increase by 1000 parking spots each year.