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 cars purchase price fall within your budget?
○ the digit 4 in the thousands place keeps the purchase price of the car within the budget.
○ the digit 2 in the ten thousands 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 budget.
○ the digit 9 in the hundreds place keeps the purchase price of the car within the budget.

Explanation:

Step1: Identify budget limit

The mileage limit is given, but the key budget clue is that the car's price $\$24,999$ is under an implied budget where the limit is $\$25,000$ (since 24,999 < 25,000).

Step2: Analyze place values

Break down $\$24,999$:

• Ten thousands place: $2$
• Thousands place: $4$
• Hundreds place: $9$
• Tens place: $9$

The difference between the car price and the $\$25,000$ threshold comes from the thousands digit: $4$ (instead of $5$) keeps the total below $\$25,000$.

Step3: Match to options

The digit in the thousands place ($4$) is what keeps the price within budget.

Answer:

The digit 4 in the thousands place keeps the purchase price of the car within the budget.