A service provider charges c dollars for the first 50 hours of service used per month and 40 cents for each 30 minutes in excess of 50 hours used during the month. If x is an integer greater than 50, which of the following expressions gives this service p : Crackverbal Support

A service provider charges c dollars for the first 50 hours of service used per month and 40 cents for each 30 minutes in excess of 50 hours used during the month. If x is an integer greater than 50, which of the following expressions gives Print

Modified on: Tue, 12 Oct, 2021 at 12:14 PM

SOLUTION:

A NEW OG 2021 QUESTION

The question here tests on skills in Unitary Methods.

"c" is the FIXED Charge to be paid and hence PRESENT IN ALL OPTIONS.

Beyond "50" hrs, the x-50 hrs (as we know that x is beyond 50 and hence greater than 50) are the VARIABLE cost.

40 cents is the VARIABLE CHARGE per 30 min =>80 cents/$0.80 is the VARIABLE charge every hour

=> $0.8 (x-50) is the VARIABLE charge for the excess of (x-50) hours.

Hence total cost = Fixed +Variable charge for x hours
= c + 0.8(x-50) OPTION (D)

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A service provider charges c dollars for the first 50 hours of service used per month and 40 cents for each 30 minutes in excess of 50 hours used during the month. If x is an integer greater than 50, which of the following expressions gives Print

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