Answered

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The total cost of an annual pass for admission to a national
park plus camping for x days can be modeled by the function
f(x) = 20x + 80. A senior citizen pays $20 less than half of
this price for x days. What is the total cost for a senior citizen to
go camping for three days in the park?

Sagot :

The total cost paid by the senior citizen for 3 days = $50

Function word problems

The function representing the total cost of the annual pass is:

f(x) = 20x + 80

A senior citizen pays $20 less than half of this price for x days

The total cost paid by the senior citizen = [tex]\frac{f(x)}{2} -20[/tex]

The total cost paid by the senior citizen =[tex]\frac{20x+80}{2} -20[/tex]

Simplify the resulting expression:

The total cost paid by the senior citizen =10x + 40 - 20

The total cost paid by the senior citizen = 10x + 20

x represents the number of days

Substitute x = 3 into the resulting equation

The total cost paid by the senior citizen for 3 days  =10(3)+20

The total cost paid by the senior citizen for 3 days = $50

Learn more on word problems on functions here: https://brainly.com/question/27857321

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