## A computer online service charges one hourly rate for regular use but a higher hourly rate for designated “premium” areas. One customer was

Question

A computer online service charges one hourly rate for regular use but a higher hourly rate for designated “premium” areas. One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. What is the service charge per hour for regular and premium services?

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2021-11-18T11:25:20+00:00
2021-11-18T11:25:20+00:00 1 Answer
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## Answers ( )

Answer: the service charge per hour for premium services is $5.5

the service charge per hour for regular services is $3

Step-by-step explanation:

Let x represent the service charge per hour for premium services.

Let y represent the service charge per hour for regular services.

One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that

2x + 9y = 38- – – – – – – – – – – 1

Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that

3x + 6y = 34.5- – – – – – – – – – -2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes

6x + 27y = 114

6x + 12y = 69

Subtracting, it becomes

15y = 45

y = 45/15

y = 3

Substituting y = 3 into equation 1, it becomes

2x + 9 × 3 = 38

2x + 27 = 38

2x = 38 – 27 = 11

x = 11/2 = 5.5