If the ratio of trucks to cars in the grocery store parking lot is 2 to 3, it means that for every 2 trucks, there are 3 cars. To express this in terms of a constant, you could say that if you have \(2x\) trucks, you will have \(3x\) cars for some positive integer \(x\).
From this information, we can deduce several statements that are always true:
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Total vehicles: The total number of vehicles (trucks plus cars) can be expressed as \(2x + 3x = 5x\), which is always a multiple of 5.
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Relationship between trucks and cars: The number of trucks is always \( \frac{2}{5} \) of the total number of vehicles present, and the number of cars is always \( \frac{3}{5} \) of the total vehicles.
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Proportion: The proportion of trucks to cars will always remain in the 2 to 3 ratio, meaning that it will never exceed or drop below this ratio unless vehicles are added or removed while maintaining the same ratio.
Overall, one statement that is always true from the given ratio is:
"There are always more cars than trucks in the parking lot."
This is because 3 parts (cars) are greater than 2 parts (trucks), indicating that for every grouping of these vehicles, cars will always outnumber trucks.