A shipping company charges 6 dollars to ship a package that weighs up to 1 pound and 2 dollars for each additional pound or portion of a pound. Which equation represents the cost, in dollars, of shipping a package that weighs x pounds?
Answer
A
f of x is equal to 6 plus 2 lceil x plus 1 rceil , where x is greater than 0
B
f of x is equal to 6 plus 2 lfloor x minus 1 rfloor , where x is greater than 0
C
f of x is equal to 6 plus 2 lfloor x plus 1 rfloor , where x is greater than 0
D
f of x is equal to 6 plus 2 lceil x minus 1 rceil , where x is greater than 0
Explanation
The first pound costs $6, so only the weight beyond 1 pound adds a charge. Each additional pound or any portion of one costs $2, so the number of additional pounds charged is the ceiling of x − 1. Thus the cost is 6 + 2⌈x − 1⌉, which is choice A.
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