Question

to ensure that you and mya clearly understand your budget, you schedule a one-on-one conversation in her office. during the discussion, you emphasize that staying within your budget is an important part of the car-buying process.
mya recommends another vehicle that she believes meets both your financial and mileage requirements. the car is priced at $24,999 and has a mileage of 12,478 miles, which is under your limit of 12,500 miles.
what digit and place value make this car’s purchase price fall within your budget?
○ the digit 2 in the ten thousands place keeps the purchase price of the car within the budget.
○ the digit 9 in the hundreds place keeps the purchase price of the car within the budget.
○ the digit 9 in the tens place keeps the purchase price of the car within the

Explanation:

First, analyze the number $24,999$. Let's break down its place values:

• The digit 2 is in the ten - thousands place, representing 20,000.
• The digit 4 is in the thousands place, representing 4,000.
• The first 9 (from left) is in the hundreds place, representing 900.
• The second 9 is in the tens place, representing 90.
• The last 9 is in the ones place, representing 9.

Now, consider the budget - related aspect. The ten - thousands place digit (2) gives the number a base value of 20,000. If the ten - thousands place digit was higher (e.g., 3), the number would be 34,999 which is likely over budget. The digit 2 in the ten - thousands place keeps the overall value of the number in the 20,000s range, which is crucial for the price to be within the budget.

For the other options:

• The digit 9 in the hundreds place (representing 900) or tens place (representing 90) has a relatively small impact on the overall value of the number compared to the digit in the ten - thousands place. Changing the 9 in the hundreds or tens place would not significantly change the overall magnitude of the number in a way that would keep it within budget as much as the ten - thousands place digit.

Answer:

A. The digit 2 in the ten thousands place keeps the purchase price of the car within the budget.