The cost of renting a video game for three days is $10, with the same daily rate. To determine the cost of renting the video game for one day, one would divide the total cost by the number of days. The correct statement is: The cost to rent the video game for one day is the quotient of $10 and 3. Next question, or would you like to ask for help?

Yes, the correct statement is indeed that the cost to rent the video game for one day is the quotient of $10 and 3. To determine the daily rental rate, you divide the total cost by the number of days rented. The calculation would be:

Cost per day = Total cost / Number of days Cost per day = $10 / 3

This will give you the cost to rent the video game for one single day.

Extra: When you're working out problems like these, you're using basic arithmetic operations—in this case, division. The total cost is a fixed amount that needs to be broken down into smaller equal parts, one for each day of rental. This concept of finding a unit rate or a per-unit cost is essential in understanding how to budget and compare costs. In real-life scenarios such as grocery shopping, comparing prices of items sold in different quantities or evaluating phone plans with different minute allowances, finding the unit rate is a handy skill to determine the best deal. Always remember to use the correct units when you're doing these calculations, as in this case, it's dollars per day.