Question

2. Your company orders a load of rock salt at a price of $85 per ton. There is a delivery charge of $95 and sales tax of 7%.
a. Explain what the function d(x) 85x + 95 represents.
b. Write a function c(x) for the total cost of an amount of x dollars with a 7% tax added
c. Find and interpret (de)(x) and (e-d)(x) d. There is no tax on the delivery fee. Find your company's total cost for 13 tons of salt
d. There is no tax on the delivery fee. Find your company's total cost for 13 tons of salt.​

Answer 1

a) The linear equation represents the charge for transporting x tons.

b) c(x) = 1.07*x

c) c(d(x)) is the tax applied to what we get with d(x).

e) The cost is $1,277.35

What does the function represent?

a) First we are given the linear function:

d(x) = 85*x + 95

This represents the fixed charge of $95 plus the $85 per ton, so that linear equation represents the charge for transporting x tons.

b) Remember that if we have a quantity A, and it increases by 7%, then just multiply it by 1.07

Then if the cost is x dollars, the cost + tax equation is:

c(x)=  1.07*x

c) Equations like:

C(d(x) ) will give us the tax + cost applied to d(x), which is what the company charges for x tons.

d) If there is no tax to the delivery fee, then the total charge equation is:

f(x) = 1.07*85*x + 95

(the 1.07 not applied to the delivery fee).

If you transport 13 tons of salt, then x = 13

f(13) =  1.07*85*13 + 95 = 1,277.35

The total cost for 13 tons of salt is $1,277.35

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1