Which of these equations correctly represents the following scenario: In her prime, 40 million people knew who Britney Spears was, but that number has been decreasing by 10% each year. So, since 90% of people still recognize her each year, how many people still know who Britney is each year?

y = 40,000,000 (0.9) x

y = 0.9 (40,000,000) x

y = 40,000,000 (0.01) x

y = 0.1x + 40,000,000

y = 0.01 (40,000,000) x

Question

Casey Phillips

Mathematics

8 February, 10:09

Which of these equations correctly represents the following scenario: In her prime, 40 million people knew who Britney Spears was, but that number has been decreasing by 10% each year. So, since 90% of people still recognize her each year, how many people still know who Britney is each year?

y = 40,000,000 (0.9) x

y = 0.9 (40,000,000) x

y = 40,000,000 (0.01) x

y = 0.1x + 40,000,000

y = 0.01 (40,000,000) x

+5

Answers (1)

Know the Answer?

Abel Humphrey · Answer 1

Its the first option

40,000,000 (0.9) x.

Step-by-step explanation:

90% recognise her each year so after 1 year so the number (N) is:

N = 40,000,000 (0.90) ^1 = 36,000,000 recognise her after 1 year.

N = 40,000,000 (0.90) ^2 = 32,400,000 recognise her after 2 yeas

- and so on.

After x years:

N = 40,000,000 (0.90) ^x.

Note the x is a power and is best written as ^x.