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1 vote
Given function models the annual sales turnover of a company, f(x), in millions of dollars, x years after the company was listed on the stock exchange.

f(x)=1,600(1.045)^x


Which statement is true?


A. The average annual increase in sales from years 4 to 6 was approximately $29.26 million.


B. The average annual increase in sales from years 8 to 10 was approximately $104.70 million.


C. The average annual increase in sales from years 2 to 4 was approximately $53.60 million.


D. The average annual increase in sales from years 6 to 8 was approximately $191.75 million.

User Lakemalcom
by
5.3k points

2 Answers

7 votes

Answer:

Answer:

Option B

Explanation:

The eqaution is

f(x)=1,600(1.045)^x

To solve this question we need to analyze each statement and check if it is true

A. The average annual increase in sales from years 4 to 6 was approximately $29.26 million.

f(4)=1,600(1.045)^4 = 1908.0297

f(6)=1,600(1.045)^6 = 2083.6162

f(6) - f(4) = 175.5865

175.5865/2 years = 87.793 ≠ 29.26

False

B. The average annual increase in sales from years 8 to 10 was approximately $104.70 million.

f(8)=1,600(1.045)^8 = 2275.3609

f(10)=1,600(1.045)^10 = 2484.7510

f(10) - f(8) =209.3901

209.3901/2 = 104.7 = $104.70 million.

True

C. The average annual increase in sales from years 2 to 4 was approximately $53.60 million.

f(2)=1,600(1.045)^2 = 1747.24

f(4)=1,600(1.045)^4 = 1908.0297

f(4) - f(2) = 160.789

160.789 /2 = 80.3945 ≠ 53.60

False

D. The average annual increase in sales from years 6 to 8 was approximately $191.75 million.

f(6)=1,600(1.045)^6 = 2083.6162

f(8)=1,600(1.045)^8 = 2275.3609

f(8) - f(6) = 191.7447

191.7447 / 2 = 95.872 ≠ 191.75

False

User Vicvicvic
by
5.4k points
2 votes

Answer:

Option B

Explanation:

The eqaution is

f(x)=1,600(1.045)^x

To solve this question we need to analyze each statement and check if it is true

A. The average annual increase in sales from years 4 to 6 was approximately $29.26 million.

f(4)=1,600(1.045)^4 = 1908.0297

f(6)=1,600(1.045)^6 = 2083.6162

f(6) - f(4) = 175.5865

175.5865/2 years = 87.793 ≠ 29.26

False

B. The average annual increase in sales from years 8 to 10 was approximately $104.70 million.

f(8)=1,600(1.045)^8 = 2275.3609

f(10)=1,600(1.045)^10 = 2484.7510

f(10) - f(8) =209.3901

209.3901/2 = 104.7 = $104.70 million.

True

C. The average annual increase in sales from years 2 to 4 was approximately $53.60 million.

f(2)=1,600(1.045)^2 = 1747.24

f(4)=1,600(1.045)^4 = 1908.0297

f(4) - f(2) = 160.789

160.789 /2 = 80.3945 ≠ 53.60

False

D. The average annual increase in sales from years 6 to 8 was approximately $191.75 million.

f(6)=1,600(1.045)^6 = 2083.6162

f(8)=1,600(1.045)^8 = 2275.3609

f(8) - f(6) = 191.7447

191.7447 / 2 = 95.872 ≠ 191.75

False

User Fran
by
4.6k points
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