SOLUTION: Holders of credit cards issued by banks, department stores, oil companies,and so on, receive bills each month that state minimum amounts that must be paid by a certain due date. Th

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Question 1208114: Holders of credit cards issued by banks, department stores, oil companies,and so on, receive bills each month that state minimum amounts that must be paid by a certain due date. The minimum due depends on the total amount owed.
One such credit card company uses the following rules:
1. For a bill of less than $10, the entire amount is due.
2. For a bill of at least $10 but less than $500, the minimum due is $10.
3. A minimum of $30 is due on a bill of at least $500 but less than $1000, a minimum of $50 is due on a bill of at least $1000 but less than $1500, and a minimum of $70 is due on bills of $1500 or more.
Find the function that describes the minimum payment due on a bill of x dollars.
Found 3 solutions by Edwin McCravy, mccravyedwin, ikleyn:
Answer by Edwin McCravy(20060) About Me  (Show Source):
Answer by mccravyedwin(407) About Me  (Show Source):
You can put this solution on YOUR website!
This student has written me back with this comment:
-------------------------------------------------------
Edwin,

Thank you but how on Earth did you come up with this set of inequalities?
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Would you other tutors like to help him/her further?  Do you suppose the
student doesn't understand the symbols %22%22%3C%22%22, %22%22%3C=%22%22, and %22%22%3E%22%22?

Perhaps if dollar marks were inserted, that would help.  Maybe the student
doesn't understand that the words "at least" means "greater than or equal to".

Please help the student if you can.

Edwin

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

        Edwin, if this student needs additional explanations to your self-explanatory formula,
        it simply means that this student does not understand no one relevant mathematical symbol
        and no one relevant mathematical term.


Dear visitor, 

1st line of the Edwin's formula is a literal translation of this piece of the post

    "for a bill of less than $10, the entire amount is due."



2nd line of the Edwin's formula is a literal translation of this piece of the post

    "for a bill of at least $10 but less than $500, the minimum due is $10."



3rd line of the Edwin's formula is a literal translation of this piece of the post

    "A minimum of $30 is due on a bill of at least $500 but less than $1000."



4th line of the Edwin's formula is a literal translation of the next piece of the post,  
and so on, and so on . . . - to the very end.

In this sense, the formula is self-explanatory: each its line is a literal translation of the relevant piece of the post.