Question

Haley is trying to save $8000 to put a down payment on a car. If she starts with $2000 saved and saves an additional $200 each month, which equation represents how far Haley is from her goal of reaching $8000? Let x stand for months and y stand for dollars.

Answer 1

Answer: The equation that represents how far Haley is from her goal of reaching $8000 is y = 8000 - 2000 - 200x.

Explanation:

Haley starts with $2000 and saves an additional $200 each month. Therefore, after x months, she will have saved:

2000 + 200x dollars

To find how far Haley is from her goal of reaching $8000, we need to subtract her savings from her goal:

8000 - (2000 + 200x) = 6000 - 200x

This gives us the value of y, which represents how far Haley is from her goal.

Therefore, the equation that represents how far Haley is from her goal of reaching $8000 is:

y = 6000 - 200x

Alternatively, we can simplify this equation to:

y = 8000 - 2000 - 200x

y = 8000 - 2000 - 200x represents how much more money Haley needs to save to reach her goal of $8000 after x months.