Question

consider the phone plans above.

1. a gb or gigabyte of data means 1 billion bytes. a netflix video by default uses about 1 gb per hour. however, netflix provides instructions on lowering data usage to 0.3 gb per hour (via lower - quality video). how many hours of such video can a person watch per month using cellular data on the 10 gb plan?

options: 10 hours, 33 hours

1. streaming music on a phone uses about 100 mb per hour. how many hours of streaming music are available per month using cellular data on the 10 gb plan?

hint: to convert between gigabytes (gb) and megabytes (mb) use 1gb = 1,000mb.
options: 0.1 hours, 10 hours, 100 hours

1. in cell phone plans, data refers to cellular data. a couple uses cell phones frequently without wifi to watch videos, resulting in about 18 gb of combined data usage per month. what would be the total monthly cost for this couple if signed up for the 10 gb plan? assume $15 per gb for each gb over 10 gb.

Explanation:

Problem 1:

Step1: Identify data usage per hour

Netflix uses 0.3 GB per hour for lower - quality video. The total data in the plan is 10 GB.

Step2: Calculate hours of video

To find the number of hours, we divide the total data (10 GB) by the data used per hour (0.3 GB/hour). So the number of hours \(h=\frac{10}{0.3}=\frac{100}{3}\approx33.33\) hours.

Step1: Convert GB to MB

We know that 1 GB = 1000 MB, so for a 10 GB plan, the total number of megabytes is \(10\times1000 = 10000\) MB.

Step2: Calculate hours of music streaming

Music streaming uses 100 MB per hour. To find the number of hours, we divide the total number of megabytes (10000 MB) by the data used per hour (100 MB/hour). So the number of hours \(h=\frac{10000}{100}=100\) hours. Wait, but the options are 0.1 hours, 10 hours, 100 hours. Wait, maybe I misread. Wait, the problem says "streaming music on a phone uses about 100 MB per hour. How many hours of streaming music are available per month using cellular data on the 10 GB plan?"
Wait, 10 GB = 10*1000 MB = 10000 MB. Number of hours = 10000 MB / 100 MB per hour = 100 hours. So the answer is 100 hours.

Step1: Determine over - limit data

The couple uses 18 GB per month. The plan is 10 GB. So the data over the limit is \(18 - 10=8\) GB.

Step2: Calculate cost for over - limit data

The cost per GB over 10 GB is $15 per GB. So the cost for the over - limit data is LXI0. But we need to know the base cost of the 10 GB plan? Wait, the problem says "What would be the total monthly cost for this couple if signed up for the 10 GB plan? Assume $15 per GB for each GB over 10 GB." Wait, maybe the base cost of the 10 GB plan is not given? Wait, maybe the problem is missing some information? Or maybe the base cost is considered as 0? No, that doesn't make sense. Wait, maybe the original problem has more details. But based on the given information, if we assume that the cost of the 10 GB plan is a fixed cost (not given) plus the over - limit cost. But since the over - limit data is 8 GB and cost per GB is $15, the over - limit cost is LXI1. But without the base cost, we can't find the total. Wait, maybe the problem is that the couple's usage is 18 GB, the plan is 10 GB, so over - limit is 8 GB. Cost for over - limit: LXI2. If we assume the base cost of the 10 GB plan is, say, $x (not given), but maybe the problem is just asking for the over - limit cost? Or maybe there is a mistake. But based on the given numbers, the over - limit cost is 120.

Answer:

33 hours (the closest option)

Problem 2: