Question

Need A Fast and Correct Answer Please

Drag each symbol and number to the correct location on the inequality. Not all symbols and numbers will be used. 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 the number of devices, x, for which the cost of the new plan is less than the cost of the current plan.
≥ 6 18 9 < ≤ 60 >
x_ _

Answer 1

• x < 18

Step-by-step explanation:

1. Current cost

• $175 per month

2. New plan's cost

• $94 + $4.50 per device ⇒ 94 + 4.5x

3. Number of devices, x, for which the cost of the new plan is less than the cost of the current plan

• 94 + 4.5x < 175

4. Solve the inequality

• Subtract 94 from both sides:

4.5 x < 175 - 94

4.5x < 81

• Divide both sides by 4.5:

x < 18

5. Answer: x < 18

The cost of the new plan is less than the cost of the current plan when the number of devices is less than 18; this is, maximum 17 devices.