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A shipping company charges a shipping fee that varies depending upon t
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20 Dec 2022, 08:26
20 Dec 2022, 08:26
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Question Stats:
72% (02:36) correct
27% (02:22) wrong based on 22 sessions
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A shipping company charges a shipping fee that varies depending upon the weight of the package to be shipped. The price to ship all packages weighing less than or equal to 5 pounds is $2.80, and an additional $0.25 is charged for each additional pound above 5 pounds. If the cost to ship Package A is greater than $7 but less than $8, which of the following could be the weight of Package A, in pounds?
Indicate all that apply.
A. 20
B. 21
C. 22
D. 2 3
E. 24
F. 25
G. 26
Indicate all that apply.
A. 20
B. 21
C. 22
D. 2 3
E. 24
F. 25
G. 26
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Official Answer
C,D,E,F
Re: A shipping company charges a shipping fee that varies depending upon t
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22 Jan 2023, 12:38
22 Jan 2023, 12:38
1
Expert Reply
OE
For all packages weighing more than 5 pounds, the shipping cost C is given by C = $2.80 + So.25 x (P - 5), where P is the weight, in pounds, of the package. According to the problem, the cost to ship Package A is greater than S7 and less than S8. Therefore:
$7 < $2.80 + $0.25 x (P - 5) < $8
Subtracting $ 2 . 8 0
$4.20 < $0.25 x ( P - 5) < $5.20
Then, you can divide all three expressions by $0.25:
\(4.20/0.25<P-5<5.20/0.25\)
In the end we have
\(21.8<P<25.8\)
For all packages weighing more than 5 pounds, the shipping cost C is given by C = $2.80 + So.25 x (P - 5), where P is the weight, in pounds, of the package. According to the problem, the cost to ship Package A is greater than S7 and less than S8. Therefore:
$7 < $2.80 + $0.25 x (P - 5) < $8
Subtracting $ 2 . 8 0
$4.20 < $0.25 x ( P - 5) < $5.20
Then, you can divide all three expressions by $0.25:
\(4.20/0.25<P-5<5.20/0.25\)
In the end we have
\(21.8<P<25.8\)
Re: A shipping company charges a shipping fee that varies depending upon t
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10 Apr 2024, 08:56
10 Apr 2024, 08:56
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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