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The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.1242 + 0.32 +3.3

for 2010 through 2016. Use this model to predict the number of vinyl album sales in the country in the year 2020 where

(2 = 10) (1 point)

• The number of vinyl album sales in the country in the year 2020 will be 20.5 million

The number of vinyl album sales in the country in the year 2020 will be 18.3 million

The number of vinyl album sales in the country in the year 2020 will be 7.74 million

O The number of vinyl album sales in the country in the year 2020 will be 21.12 million

User Chris Cruz
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1 Answer

26 votes
26 votes

Answer:

b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.

Explanation:

Given - The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.12 x² + 0.3 x +3.3 for 2010 through 2016.

To find - Use this model to predict the number of vinyl album sales in the country in the year 2020 where x = 10

a) The number of vinyl album sales in the country in the year 2020 will be 20.5 million.

b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.

c) The number of vinyl album sales in the country in the year 2020 will be 7.74 million.

d) The number of vinyl album sales in the country in the year 2020 will be 21.12 million.

Proof -

Given that,

The equation be - y = 0.12 x² + 0.3 x +3.3

Now,

Put x = 10 in above equation we get

y = 0.12×10² + 0.3×10 +3.3

= 0.12×100 + 3 + 3.3

= 12 + 6.3 = 18.3

⇒y = 18.3

∴ we get

The number of vinyl album sales in the country in the year 2020 will be 18.3 million.

So,

The correct option be - b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.

User En Lopes
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