The lucky storage company wants to ship materials from their current warehouse...
a) write and equation relating c to s
b) use this equation to determine the cost to ship 37 tons of material to the new warehouse
A) C = 2,200 + 150S
The cost to rent the trucks is a one-time fee, therefore it does not need to be assigned a variable. However, the statement "$150.00 per ton of material shipped" does need a variable since it's stated that "S represent each ton of material shipped"
So we will attach the S to the 150
C = 2,200 + 150S
Now, using the same equation we made from Explanation A. We will replace S with 37.
Why? Since S represents each ton of material, we are given 37 tons. We need to replace the S to actually calculate a value. Think of all the letters as just a placeholder until we actually need it.
C = 2,200 + 150(37)
C = 7,750
since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.
the inverse (opposite operation) of "to the fourth power" is "to the fourth root".
(x^4) ^ ¼ = 81 ^ ¼
81 = 3^4 so (3 ^ 4) ^ ¼ = 3 ^ 1 = 3
by hand: (3 ^ 4) ^ ¼ = 3 ^ (4 x ¼) = 3 ^ 1 = 3 (when you take a power to a power, multiply the exponents.)
or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)