Respuesta :
t ( x ) = 3 x + 1
c ( x ) = x + 4
c ( t ( x ) ) = 3 x + 1 + 4 = 3 x + 5
When x = 2:
c ( 2 ) = 3 * 2 + 5 = 6 + 5 = 11
Answer: $11 must be spent on green beans.
c ( x ) = x + 4
c ( t ( x ) ) = 3 x + 1 + 4 = 3 x + 5
When x = 2:
c ( 2 ) = 3 * 2 + 5 = 6 + 5 = 11
Answer: $11 must be spent on green beans.
Answer: The amount of money he must be spent when the crew is going to work 2 shifts is $11.
Step-by-step explanation:
Since we have given that
the function t(x)=3x+1 determines how many cans of green beans a food truck needs to stock on board , where x is the number of shifts the crew is going to work in the truck.
And the function c(x)= x+4
Since the crew uses c(t(x)) to find the amount of money to spend on green beans .
So, we will use "Composition of functions ":
[tex]c(t(x))=(3x+1)+4\\\\c(t(x))=3x+5[/tex]
Since the crew is going to work 2 shifts , so our answer will be
[tex]c(t(2))=3(2)+5\\\\c(t(2))=6+5\\\\c(t(2))=11[/tex]
Hence, the amount of money he must be spent when the crew is going to work 2 shifts is $11.