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The daytime telephone rate between two cities is 60 cents for the first 3 minutes and \(c\) cents for each additional

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by M7MBA » Sun Apr 26, 2020 9:36 am

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B

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The daytime telephone rate between two cities is 60 cents for the first 3 minutes and \(c\) cents for each additional minute. The total charge is reduced 60 percent on calls made after 10:00 P.M. The cost, in dollars, of a 35-minute call made at 10:30 P.M. between these two cities is:

(A) \(0.4(0.60) + 35c\)
(B) \(0.4(0.60 + 0.32c)\)
(C) \(0.4(0.60 + 9c)\)
(D) \(0.6(0.60 + 32c)\)
(E) \(0.6(0.60 + 0.35c)\)

[spoiler]OA=B[/spoiler]

Source: Veritas Prep
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Source: — Problem Solving |

M7MBA wrote:
Sun Apr 26, 2020 9:36 am
The daytime telephone rate between two cities is 60 cents for the first 3 minutes and \(c\) cents for each additional minute. The total charge is reduced 60 percent on calls made after 10:00 P.M. The cost, in dollars, of a 35-minute call made at 10:30 P.M. between these two cities is:

(A) \(0.4(0.60) + 35c\)
(B) \(0.4(0.60 + 0.32c)\)
(C) \(0.4(0.60 + 9c)\)
(D) \(0.6(0.60 + 32c)\)
(E) \(0.6(0.60 + 0.35c)\)

[spoiler]OA=B[/spoiler]

Source: Veritas Prep
Since the total charge is reduced by 60 percent on calls made after 10:00 P.M, the total charges are 40% of total charges in the daytime.

Total charges at 10:30 am = 40% of [60 /100 + (35 – 3)*c/100] dollars = 0.4(0.60 + 0.32c) dollars

The correct answer: B

Hope this helps!

-Jay
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M7MBA wrote:
Sun Apr 26, 2020 9:36 am
The daytime telephone rate between two cities is 60 cents for the first 3 minutes and \(c\) cents for each additional minute. The total charge is reduced 60 percent on calls made after 10:00 P.M. The cost, in dollars, of a 35-minute call made at 10:30 P.M. between these two cities is:

(A) \(0.4(0.60) + 35c\)
(B) \(0.4(0.60 + 0.32c)\)
(C) \(0.4(0.60 + 9c)\)
(D) \(0.6(0.60 + 32c)\)
(E) \(0.6(0.60 + 0.35c)\)

[spoiler]OA=B[/spoiler]

Source: Veritas Prep
The cost of a 35-minute call at 10:30 pm, in dollars, is:

0.4(60/100 + 32 * c/100)

0.4(0.6 + 0.32c)

Answer: B

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