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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Anna 1 week 2021-11-18T11:25:20+00:00 1 Answer 0 views 0

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    2021-11-18T11:26:43+00:00

    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

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45:7+7-4:2-5:5*4+35:2 =? ( )