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Use the drawing tool(s) to form the correct answer on the provided number line.
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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Answer:

n < 18

Step-by-step explanation:

The condition you are looking for is that

                                         94 + 4.50n < 175

Subtract 94 from each side     4.50n < 81

Divide each side by 4.50                 n < 18

The number of devices must be fewer than 18 for the new plan to cost less than the current plan.

The diagram is a graph of the inequality 94 + 4.50n < 175. Any value of n less than 18 (that is, in the pink zone and not on the vertical dashed line) will satisfy the inequality.

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