The shipping cost is $5.99, and there is a tax of 2.5% in the products.
So using 'c' for the price of the items, the total price 't' is the shipping cost, plus cost of the products, plus the tax (2.5% of the items price):
[tex]\begin{gathered} t=5.99+c+0.025c \\ t=1.025c+5.99 \end{gathered}[/tex]
Isolating the variable c in this equation, we have:
[tex]\begin{gathered} 1.025c=t-5.99 \\ c=0.976t-5.844 \end{gathered}[/tex]
Now, analysing each option, we have:
A.
False, this function is incorrect (we calculated it above)
B.
True, this function represents the total cost.
C.
False, the initial value of the function (that is, for c = 0) is just the shipping cost: 5.99
D.
True, as we stated in the previous item: initial value = shipping cost
E.
False, the rate of change (the constant multiplying 'c' in the function) is 1.025.
