Question

Suppose a basket of goods and services has been selected to calculate the CPI, and 2012 has been selected as the base year. In 2012, the basket's cost was $77; in 2013, the basket's cost was $82; and in 2014, the basket's cost was $90. The value of the CPI in 2014 was ________.a. 116.9, and the inflation rate was 16.9%.b. 109.8, and the inflation rate was 9.8%.c. 109.8, and the inflation rate was 16.9%.d. 116.9, and the inflation rate was 9.8%. Explain how you got the answer, please.

          Suppose a basket of goods and services has been selected to calculate the CPI, and 2012 has been selected as the base year. In 2012, the basket's cost was $77; in 2013, the basket's cost was $82; and in 2014, the basket's cost was $90. The value of the CPI in 2014 was ________.a. 116.9, and the inflation rate was 16.9%.b. 109.8, and the inflation rate was 9.8%.c. 109.8, and the inflation rate was 16.9%.d. 116.9, and the inflation rate was 9.8%. Explain how you got the answer, please.
        
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Principles of Economics
Principles of Economics
Gregory Mankiw 8th Edition
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Suppose a basket of goods and services has been selected to calculate the CPI, and 2012 has been selected as the base year. In 2012, the basket's cost was $77; in 2013, the basket's cost was $82; and in 2014, the basket's cost was $90. The value of the CPI in 2014 was ________.a. 116.9, and the inflation rate was 16.9%.b. 109.8, and the inflation rate was 9.8%.c. 109.8, and the inflation rate was 16.9%.d. 116.9, and the inflation rate was 9.8%. Explain how you got the answer, please.
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Transcript

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00:01 Hello, in this video i will be explaining the following.
00:03 So we have the basket costs for these three years, and we're going to look for the cpi of the basket in 2014.
00:11 In order to do this, we need to know the formula for cpi, which is cp equals the cost of basket.
00:31 It's allowed by the cost.
00:49 Let's move it over.
00:51 So we have a little space and i can move it down here and move this up here.
01:00 All right, let's continue.
01:16 Class the basket times 100 and our x is going to be the year of the 2014 which is what we're looking for and our x1 is going to be the base year which is 2012.
01:43 So that leaves us with 90 divided by 77 times 100, which is going to equal 116 .8.
02:03 And if you want to round that up, it's 116 .9.
02:09 So now we need to know the inflation rate.
02:13 That we can find by doing, let's change the color...
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