Respuesta :
The cost of a school banquet is $75+30n, where n is the number of people attending.
If 53 people are attending to visit school banquet, then you have to find the value of given expression at n=53.
At n=53, the value is $(75+30·53)=$1,665.
Answer: $1,665
ANSWER
$1665
EXPLANATION
The relation given to you is the relation between the number of people and the cost, which can be written in a function notation as
[tex]c(n) = 75 + 30n[/tex]
You just have to plug in
[tex]n = 53[/tex]
in to the cost function and simplify.
[tex]c(n) = 75 + 30n[/tex]
[tex]c(53) = 75 + 30(53)[/tex]
[tex]c(53) = 75 + 1590[/tex]
[tex]c(53) = 1665[/tex]
Therefore the cost for 53 people is $1665
$1665
EXPLANATION
The relation given to you is the relation between the number of people and the cost, which can be written in a function notation as
[tex]c(n) = 75 + 30n[/tex]
You just have to plug in
[tex]n = 53[/tex]
in to the cost function and simplify.
[tex]c(n) = 75 + 30n[/tex]
[tex]c(53) = 75 + 30(53)[/tex]
[tex]c(53) = 75 + 1590[/tex]
[tex]c(53) = 1665[/tex]
Therefore the cost for 53 people is $1665