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Advocard [28]
3 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]3 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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Since b is all by itself in equation 2, Substitute it into equation 1.

2a + 3b = 5
b = a - 5                       Put this result in equation 1. Be sure and use brackets.
2a + 3(a - 5) = 5          Remove the brackets.
2a + 3a - 15 = 5           Notice the -5 inside the brackets becomes - 15
                                    Combine like terms on the left.    
5a - 15 = 5                   Add 15 to both sides
5a = 5 + 15
5a = 20                        Divide by 5
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a = 4

So far, c is the only possible answer.
b = a - 5
b = 4 - 5
b = - 1






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