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10 April, 14:37

An internet service provider is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find and graph the number of devices, x, for which the cost of the new plan is less than the current plan.

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  1. 10 April, 16:49
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    The current rate is simply equal to $175 per month, let us call this as rate A:

    A = 175

    The new rate is $94 plus $4.50 per devices, let us call this as rate B:

    B = 94 + 4.50 x

    where x is the number of devices connected to the network

    The inequality equation for us to find x which the new plan is less than current plan is:

    94 + 4.50 x < 175

    Solving for x:

    4.50 x < 81

    x < 18

    So the number of devices must be less than 18.

    - From the graph, we can actually see that the new rate intersects the current rate at number of devices equal to 18. So it should really be below 18 devices.
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