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Advocard [28]
2 years ago
12

The rate at which people learn about a secret is directly proportional to the number of people who know the secret. If two peopl

e know the secret on day 0, and 20 people know it on day 2, how long will it take for the whole school (4000 people) to know?
Mathematics
1 answer:
fenix001 [56]2 years ago
8 0

Answer:

between 222 and 223 days

Step-by-step explanation:

This relation includes the point (0, 2).

A proportional relation must include the point (0, 0).

This is not proportional, but it may be linear.

Points: (0, 2), (2, 20)

y = mx + b

20 = (20 - 2)/(2 - 0) × 2 + b

20 = 18/2 × 2 + b

b = 2

y = 18x + 2

When 4000 people know, y = 4000.

y = 18x + 2

4000 = 18x + 2

3998 = 18x

x = 3998/18

x = 222.111...

Answer: between 222 and 223 days

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2 years ago
The population of a country was increased in the past 4 years. The annual presentage increases are 20%,25%,30%,10% respectively.
Vladimir79 [104]

The answer is 114.5%.

Let the original population be denoted by x.

Now, let's go through the percentage increase per year.

<u>Year 1</u>

  • x (1 + 20%)
  • x (1.2)
  • 1.2x

<u>Year 2</u>

  • 1.2x (1 + 25%)
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<u>Year 3</u>

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<u>Year 4</u>

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Overall increase : 214.5% - 100% = 114.5%

Hence, the overall percentage increase in these 4 years is 114.5%.

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Answer:

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