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.

Question

anonymous · Answer

t(x) = 3x + 5
t(x) = 3(3) + 5
t(x) = 9 + 5
t(x) = 14
Is that correct?

boldjon · 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

boldjon · Answer

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

boldjon · Answer

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

boldjon · Answer

The above may be easier for you

anonymous · Answer

Then you have to plus that in for c(x) so...
c(x) = 2x + 3
c(x) = 2(14) + 3
c(x) = 38 + 3
so c(x) = 31

mathmale · Answer

The key to understanding what to do here is to understand the notation      c(t(x)).  Please explain in words what    c(t(x))    means.

anonymous · Answer

Never mind, you already answered lol