BrainyJanie88
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The country of Sylvania has decided to reduce the number of its illiterate citizens by 3/5 each year. This year there are 9000 illiterate people in the country. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today. asking for khan

Respuesta :

nandhini123

Answer:

[tex]P(t) = 9000[1 - \frac{3}{5}t][/tex]

Step-by-step explanation:

Given:

Reduction in the number of illerate people in the  country of Sylvania  per year  =   3/5 each year

Total number of people country of Sylvania = 9000

To Find:

A function that gives the number of illiterate people in Sylvania, P(t), t years from today = ?

Solution:

Lets first find the number of people after 1 year

The number of illiterate people from one year will be

=Total number of people - [tex]\frac{3}{5}[/tex] of the illiterate population

= [tex]9000 -(1) \frac{3}{5} \text{of 9000}[/tex]

= [tex]9000 - 9000(\frac{3}{5})(1)[/tex]

=[tex]9000[ 1- \frac{3}{5}][/tex]

This can be generally written as

[tex]P(t) = 9000[1 - \frac{3}{5}t][/tex]

Where t is the year.

roundadworthy

Answer:

P(t) = 9,000 - 5,400t

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Reduction rate in the number of illiterate people in Sylvania annually = 3/5

Number of illiterate people in Sylvania this year = 9,000

2. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.

P(t) = Number of illiterate people in Sylvania this year - (Number of illiterate people in Sylvania this year * Reduction rate in the number of illiterate people in Sylvania annually)

Replacing with the values and variables provided, we have:

P(t) = 9,000 - (9,000 * 3/5t)

P(t) = 9,000 - 5,400t

Now we can calculate P(1), this way:

P(1) = 9,000 - 5,400 * 1

P(1) = 3,600

And we can calculate when there won't be illiterate people in Sylvania, as follows:

P(t) = 9,000 - 5,400t

9,000 - 5,400t = 0

-5,400t = -9,000

t = -9,000/-5,400

t = 1.67 years

t = 1 year and 8 months (0.67 * 12 = 8)

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