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Mr Cain is adding a home security system that will constantly use 5mbps of his 23mbps plan. How many of his mobile phones can also be used if his blue work phone and laptop must always be on ?

2 Answers

13 votes

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.

User DibsyJr
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11 votes

Final answer:

After accounting for a 5mbps home security system from a 23mbps plan, hypothetically, if the blue work phone and laptop use an estimated 3mbps, Mr. Cain could connect up to 15 mobile phones assuming each phone uses about 1mbps. The exact number may vary based on actual device usage.

Step-by-step explanation:

The question pertains to bandwidth allocation for various devices using Mr. Cain's home internet connection. The security system requires 5mbps of the 23mbps internet plan. We are first tasked with determining how much bandwidth is left after accounting for the security system.

23mbps - 5mbps for the security system leaves us with 18mbps of available bandwidth. Mr. Cain also needs to ensure that his blue work phone and his laptop are always connected. Since the question does not provide the specific bandwidth requirements for these two devices, we'll need to assume they consume a minimal or standard quantity of bandwidth suitable for typical work tasks such as email and web browsing, unless more information is made available.

With the unspecified requirements of the blue work phone and laptop, we cannot provide a precise number of mobile phones that can be used on the remaining bandwidth. However, if we assume the work phone and laptop together use up to 3mbps (which is common for moderate use), Mr. Cain would theoretically be left with 15mbps for additional devices.

With an assumption of each mobile phone using around 1mbps, which allows for general usage like browsing or streaming music, Mr. Cain could theoretically connect up to 15 more mobile phones. However, it is important to note that network performance can be affected by multiple devices using bandwidth simultaneously, and activities demanding higher bandwidth on any device would reduce the number of devices that could be connected.

User Douglas Drouillard
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