Final answer:
To find out how many mobile phones can be used along with a home security system, a blue work phone, and a laptop on a 23mbps plan, subtract the bandwidth used by the security system, the blue phone, and the laptop from the total plan bandwidth, and then divide by the average bandwidth usage of a mobile phone.
Step-by-step explanation:
Mr. Cain has a 23mbps internet plan. The new home security system will consume 5mbps of this plan continuously. Assuming the blue work phone and the laptop must always be on, we need first to find out how much bandwidth they are using to determine how many mobile phones can be used on the remaining bandwidth.
Let's assume the blue work phone uses X mbps and the laptop uses Y mbps. Unfortunately, the question doesn't provide the specific bandwidth requirements for these devices, so we cannot calculate the exact number of additional phones that can be used. However, in general, we would subtract the security system's 5mbps, and the combined usage of the blue phone and laptop from the total 23mbps to find out how much bandwidth is left for other mobile phones.
Here is a general formula:
Total remaining bandwidth = Total plan bandwidth - (Security system bandwidth + Blue work phone bandwidth + Laptop bandwidth)
Number of additional phones that can be used = Total remaining bandwidth / Average phone bandwidth usage
If we know the average phone bandwidth usage, we can divide the remaining bandwidth by this amount to find out the number of phones that can be supported. Note that this result should be rounded down to the nearest whole number, as you cannot have a fraction of a phone using bandwidth.