The given ratio of trucks to Cars in the grocery store parking lot is 2 to 3.
We have to check which statements are always true. For that, let's evaluate each statement.
A: Two out every five vehicles in the parking lot are trucks.
The given ratio of trucks to cars is 2:3. That means, the total number of trucks would be 2/5 and cars would be 3/5. Therefore, there would be 2 trucks in five vehicles. Therefore, this statement is true.
B: for every three cars in the parking lot, there are two trucks
As explained in the above scenario, the number of cars would be 3/5 * x and trucks would be 2/5 * x. if x = 5, cars = 3/5 * 5 = 3 and trucks = 2/5 * 5 = 2. Therefore, this statement is true.
C: three out of every five vehicles in a parking lot are cars
Well, the ratio of trucks to cars is 2:3. But, the parking can have other vehicles as well. Therefore, it is not always true that three out of every five vehicles in a parking lot are cars. Therefore, this statement is false.
D: for every three trucks in the parking lot there are five cars.
The given ratio of trucks to cars is 2:3. But this statement makes the ratio 3:5 that is not equal to 2:3. Therefore, this statement is false.
hence, the first two options are correct.