C. hsu: yu would rather be a cook.
why does hsu: yu refuse the empire?
a. "emperor" is just a name, and it does not matter
who fills the position.
b. hsu: yu wants to keep his freedom.
d. hsu: yu does not think that he would do a good
job of ruling.

Hsu Yu refuses the emperor because according to him "Emperor" is just a name, and it does not matter who fills the position.

Option a.

Explanation:

Emperor Yao finds himself not a good "Emperor" and with humble and kind heart requests Hsu Yu to become the emperor and rule the empire.

Hsu Yu refuses the empire as well as the "Emperor" title. He says that You are administering the Empire, and the Empire is already in the hands of the good emperor." Just for name sake, the position must not be filled. It must be filled with a person who can do justice to the position in which he is placed.

in the problem you wrote said that the taxi charges $0.070 per mile(which would be 7 cents per mile), but then in your suggested equation you have it as $0.70 per mile (which is 70 cents per mile).

the latter seems more realistic, so i will assume that the taxi costs $5.00 and charges $0.70 per mile with tolls costing an additional $3.50. and it asks you to find how far you can travel on $36.50.

let x the number of miles traveled. since the taxi charges $0.70 per mile, multiplying this by the miles traveled (x) will yield the cost of the taxi ride as far as how far it took you. then adding this amount to the cost of the taxi ($5.00) and the additional cost for the tolls ($3.50) will give you the total cost of the taxi ride ($36.50)

that is,

            (0.70)x + 5.00 + 3.50 = 36.50

adding the like terms on the left-hand side of this equation, we arrive at the following:

            (0.70)x + 8.50 = 36.50

subtracting 8.50 from both sides of the equation, we get:

            (0.70)x = 28.00

to solve for x, divide both sides of the equation above by the coefficient of x (that being, 0.70):

            x = 40

thus, you can travel up to 40 miles on $36.50