Question

due no due date points 24 submitting an external tool attempts 0 allowed attempt available dec 7 at 10:02pm - dec 19 at 5pm 2013 329,743,835 2014 338,190,322 2015 346,794,052 2016 355,558,289 2017 ? estimated source: u.s. census bureau based on the graph, which figure most likely completes the table correctly? 339,562,871 342,567,398 357,879,201 364,485,444

Explanation:

Step1: Analyze the trend

First, we calculate the differences between consecutive years to see the pattern of growth.

• 2014 - 2013: \(338,190,322 - 329,743,835 = 8,446,487\)
• 2015 - 2014: \(346,794,052 - 338,190,322 = 8,603,730\)
• 2016 - 2015: \(355,558,289 - 346,794,052 = 8,764,237\)

We can observe that the population is increasing each year, and the rate of increase is also increasing (the differences are getting larger: 8,446,487; 8,603,730; 8,764,237).

Step2: Predict the 2017 value

To find the 2017 value, we expect the difference between 2017 and 2016 to be larger than the difference between 2016 and 2015 (8,764,237). Let's check the options:

• Option 1: \(339,562,871\) is less than 2016's value (\(355,558,289\)), so it's incorrect (population is increasing).
• Option 2: \(342,567,398\) is also less than 2016's value, incorrect.
• Option 3: \(357,879,201 - 355,558,289 = 2,320,912\). This difference is smaller than 8,764,237, so it doesn't follow the increasing difference trend.
• Option 4: \(364,485,444 - 355,558,289 = 8,927,155\). This difference is larger than 8,764,237, which follows the trend of increasing differences.

Answer:

364,485,444 (the last option, D. 364,485,444 assuming the options are labeled A to D as per typical multiple - choice, with D being 364,485,444)