The cost of renting a car is a flat $25, plus an additional 9 cents per mile that you drive. How far can you drive for $71?

(71 - 25) / 0.09 = ______ miles

To solve this problem, we need to find out how many miles you can drive for $71.

Step 1: Calculate the cost of renting the car
The cost of renting the car is a flat $25.

Step 2: Calculate the cost per mile
The additional cost per mile is 9 cents, which is equal to $0.09.

Step 3: Find the number of miles you can drive
Let's assume the number of miles you can drive is represented by "x".

The cost of renting the car plus the additional cost per mile multiplied by the number of miles driven equals $71:

$25 + $0.09 * x = $71

Step 4: Solve for x
Subtract $25 from both sides of the equation:

$0.09 * x = $71 - $25
$0.09 * x = $46

Divide both sides of the equation by $0.09:

x = $46 / $0.09
x = 511.11

Step 5: Round the answer
Since you cannot drive a fraction of a mile, round down to the nearest whole number.

The answer is: You can drive approximately 511 miles for $71.

To find out how far you can drive for $71, we need to subtract the flat rate of $25 from the total cost of $71 and then divide the remaining amount by the cost per mile.

Step 1: Calculate the cost after subtracting the flat rate:
$71 - $25 = $46

Step 2: Calculate the distance you can drive:
$46 ÷ $0.09/mile = 511.11 miles

Therefore, you can drive approximately 511.11 miles for $71.