SOLUTION: In an online shopping rebate program, customers recieve a rebate of a given percent of their purchase amount until they reach a certain minimum threshold in a month. They recieve a

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Question 1163456: In an online shopping rebate program, customers recieve a rebate of a given percent of their purchase amount until they reach a certain minimum threshold in a month. They recieve a larger percentage rebate on any additional purchases beyond this threshold. If a customer spends more than his minimun threshold in a month, his total rebate is given by the function R=4x + (x+5)(0.01z-4). Which of the following statements is true?
a) the initial threshold is 1,000.
b) x represents the total amount the customer spends.
c) x represents the percentage discount for the purchases over the threshold.
d) the initial threshold is 400.

Answer by KMST(5345) About Me  (Show Source):
You can put this solution on YOUR website!
R=4x%2B%28x%2B5%29%2A%280.01z-4%29
R=4x%2B0.01zx-4x%2B0.05z-20%29
R=4x%2B0.01zx-4x%2B0.05z-20%29
R=0.01zx%2B0.05%28z-20%2F0.05%29
R=0.01xz%2B0.05%28z-400%29
The term 0.01xz represents %22x%25%22 of the amount z
The term 0.05%28z-400%29%7D%7D%5D+represents+an+extra+%7B%7B%7B%225%25%22 of the z in excess over 400
The initial threshold is highlight%28400%29
z represents the total amount the customer spends in a month
x represent the percentage of rebate for purchases up to 400%2Fmonth
Any excess over that 400 threshold of monthly expenses results in an additional %225%25%22 rebate.