The function t(x) = 3x + 5 determines how many cans of corn kernels a food truck needs to stock, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on corn. The function c(x) = 2x + 3. Solve for how much money must be spent when the crew is going to work 3 shifts.

11

14

31

43

Question

The function t(x) = 3x + 5 determines how many cans of corn kernels a food truck needs to stock, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on corn. The function c(x) = 2x + 3. Solve for how much money must be spent when the crew is going to work 3 shifts.

 11

 14

 31

 43

anonymous · Answer

c(t(x)), is c(x), where x = t(x)

anonymous · Answer

Write down c(x), and replace x with the equation for t(x)

anonymous · Answer

would i equal c and t together to find x ?

anonymous · Answer

c(x) = 2x+3
x = t(x) = 3x+5

2(3x+5)+3 = 6x+10+3 = 6x+13
x = 3 shifts
6(3)+10+3 = 18+10+3 = 31

anonymous · Answer

oh ok, thank you very mcuh :)

anonymous · Answer

or you can let x = 3 in t(x), and put that number into c(x):

anonymous · Answer

t(3) = 3(3)+5 = 14
c(14) = 2(14)+3 = 31

anonymous · Answer

The above may be easier for you

anonymous · Answer

yes that is  a lot easier  thanks for helping me, i love them shortcuts