A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that. Nick only has $10 to spend on washing his car. Let m represent the number of minutes after the initial 5 minutes Nick spends washing his car.

Answer 1

The cost for the initial 5 minutes is $4.
The cost for the additional m minutes is $0.75 * m.
The total cost is $4 + $0.75 * m.
Nick can spend at most $10, so we have the inequality: $4 + $0.75 * m ≤ $10.
Subtracting $4 from both sides of the inequality, we get $0.75 * m ≤ $6.
Dividing both sides of the inequality by $0.75, we get m ≤ 8.
Therefore, Nick can spend at most 8 minutes washing his car.