Respuesta :
Given:
The function for the total lodging cost c (in dollars) for a stay at a vacation destination of n nights is
[tex]c=180n+250[/tex]
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.
[tex]c\leq 900[/tex]
[tex]180n+250\leq 900[/tex]
[tex]180n\leq 900-250[/tex]
[tex]180n\leq 650[/tex]
Divide both sides by 180.
[tex]n\leq \dfrac{650}{180}[/tex]
[tex]n\leq 3.611[/tex]
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.
Number of nights he stay is 3.6
Given that;
Cost function
C = 180n + 250
Total cost = $900
Find:
Number of nights
Computation:
Cost function
C = 180n + 250
Total cost = $900
So,
900 = 180n +250
180n = 650
n = 3.6 nights (Approx.)
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