Question

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 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 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.

Explanation:

Step1: Analyze the place - value of each digit in 24,999

In the number 24,999:

• The digit 2 is in the ten - thousands place ($2\times10000 = 20000$)
• The digit 4 is in the thousands place ($4\times1000=4000$)
• The first 9 is in the hundreds place ($9\times100 = 900$)
• The second 9 is in the tens place ($9\times10=90$)
• The last 9 is in the units place ($9\times1 = 9$)

Step2: Consider the budget implications

If we assume a budget limit (not given in the problem, but based on the analysis of place - values). Let's say if we consider the magnitude of the number. The digit in the ten - thousands place (2) gives a value of 20000. If the budget is more than 20000 (for example, if the budget is 25000), the fact that the digit in the ten - thousands place is 2 (and not 3 or higher) is a key factor. But if we assume a more detailed analysis. Let's rewrite 24999 as \(2\times10^{4}+4\times10^{3}+9\times10^{2}+9\times10^{1}+9\times10^{0}\).
If we compare 24999 with a number like 34999 (where the ten - thousands digit is 3). The digit 2 in the ten - thousands place of 24999 makes it smaller than numbers with 3 or higher in the ten - thousands place.

Answer:

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