No, Tony is not correct. Solving the inequality tells us that x is greater than or equal to 37.5. Since the class must wash a whole number of cars, they need to wash at least 38 cars.
Since Tony solved the inequality and got 37 cars, we can say;
He is not correct because the number of cars given by the inequality is greater than the 37 cars he got.
Amount required by Tony's class; $500
Amount raised already; $200
Now they plan to have a car wash that charges $8 per car to have the inequality;
8x + 200 ≥ 500,
Where x is the number of cars washed.
Thus, let us solve the inequality;
8x + 200 ≥ 500
Use subtraction property of equality to subtract 200 from both sides;
8x + 200 - 200 ≥ 500 - 200
⇒ 8x ≥ 300
Use division property of equality by dividing both sides by 8 to get;
8x/8 ≥ 300/8
x ≥ 37.5
This means that if they wash above 37.5 cars, they will have enough money.
In conclusion, Tony is not correct because the number of cars given by the inequality is greater than the 37 cars he got.
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