Answer:
P(t) = 9,000 - 5,400t
Correct statement and question:
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.
Source:
Previous question that can be found at brainly
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)
