Given:
The function for the total lodging cost c (in dollars) for a stay at a vacation destination of n nights is
Budget = $900
To find:
The number of nights you can stay at you vacation destination.
Solution:
Since, budget is $900, therefore, the cost must be less than or equal to $900.
Divide both sides by 180.
Number of nights must be a whole number. So, greatest whole value of n is 3.
Therefore, you can stay 3 nights, i.e., n=3.