Question

The function c=180n+250 represents the total lodging cost c (in dollars) for a stay at a vacation destination of n nights.

Answer 1

Given:

The function for the total lodging cost c (in dollars) for a stay at a vacation destination of n nights is

$c=180n+250$

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.

$c\leq 900$

$180n+250\leq 900$

$180n\leq 900-250$

$180n\leq 650$

Divide both sides by 180.

$n\leq \dfrac{650}{180}$

$n\leq 3.611$

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.