Final answer:
The Rodriguez family started with $1,875, has $895 left, and spends $140 per day. They have spent $980 in total, which means they have been on vacation for 7 days.
Step-by-step explanation:
The question involves calculating how many days the Rodriguez family can continue to vacation based on their spending and remaining budget. To solve this, we need to determine how much money they have already spent.
We start with the initial amount of money the family had, which was $1,875. We then subtract the amount of money they have left, which is $895, to find the total amount spent.
Amount Spent = Initial Amount - Remaining Amount = $1,875 - $895 = $980.
Next, we'll use this amount to find out how many days they have spent on their vacation. Since they spend $140 each day, we divide the total amount spent by the daily spending.
Number of Days = Amount Spent / Daily Spending = $980 / $140 = 7 days.
Therefore, the Rodriguez family has been on vacation for 7 days.