Question

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 goin to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on green beans. The function c(x)=x+4. Solve for how much money must be spent when the crew is going to work 2 shifts

Answer 1

$\bf \begin{cases} t(x)=3x+1\\ c(x)=x+4\\ c(~~t(x)~~)=[t(x)]+4 \end{cases} \\\\\\ \stackrel{\textit{the crew working 2 shifts, x = 2}}{t(2)=3(2)+1}\implies t(2)=7 \\\\\\ c(~~t(2)~~)=[t(2)]+4\implies c(~~7~~)=[7]+4\implies \boxed{c(7)=11}$

Answer 2

Answer:

11

Step-by-step explanation:

The function c(t(x)) means that t(x) equation must be substituted into c(x) as the value x:

c(t(x)) $=3\cdot{x}+1+4$

if the crew works 2 shifts x=2 and we can substutite into c(t(x)):

c(t(2)) $=3\cdot{2}+1+4=11$