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.

Here we know that 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. Assuming just a month, we can write a constant equation given by the form:

The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. So the linear equation is:

So we need to find the number of devices, x, for which the cost of the new plan is less than the cost of the current plan. By using inequalities:

So you should connect less than 18 devices in a month in order for the cost of the new plan to be less than the cost of the current plan.

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)