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A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or

portion of a pound. Which equation represents the cost, in dollars, of shipping a package that weighs x pounds?
ORX) - 6+21 x-17, where x > 0
O f(x) - 6+2Lx-1), where x > 0
ORX) - 6+2x+17, where x > 0
O fx) - 6+2Lx+ 1], where x > 0

1 Answer

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Final answer:

The correct equation for the cost of shipping a package weighing x pounds with the stated pricing structure is f(x) = 6 + 2(x - 1), where x > 0.

Step-by-step explanation:

The equation that represents the cost of shipping a package that weighs x pounds can be found by taking into account the initial cost and the cost for each additional pound. Given the shipping company charges $6 for up to 1 pound and $2 for each additional pound or portion thereof, the cost equation is f(x) = 6 + 2(x - 1), where x > 0 and we assume x to be the number of pounds rounded up to the nearest whole number if it's not already an integer. According to this, the first pound is covered by the initial $6, and the additional pounds are charged at $2 per pound.

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