Value Rent-a-Car rents a luxury car at a daily rate of $37.01 plus 10 cents a mile. A business person is allotted $100 for car rental each day. How many miles can the business person travel on the $100?

_______miles

37.01 + 0.1x = 100

Solve for x.

629

To find out how many miles the business person can travel on the $100, we need to subtract the daily rate from the total daily budget and divide the remaining amount by the cost per mile.

Let's break it down step by step:

1. Start with the daily budget: $100.
2. Subtract the daily rate from the budget: $100 - $37.01 = $62.99.
3. Divide the remaining amount by the cost per mile which is 10 cents or $0.10. To convert the remaining amount to cents, multiply it by 100: $62.99 * 100 = 6,299 cents.
4. Divide the remaining amount in cents by the cost per mile in cents: 6,299 / 10 = 629.9 miles.

Therefore, the business person can travel approximately 629.9 miles on the $100 budget.

Please note that since we cannot have fractional miles, the business person can travel up to 629 miles (rounding down).