SOLUTION: this year an estimated 4,325,000 people in this country are illiterate. With new incentives and funding, the country is hoping to cut that number by 3% every year. How many people

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: this year an estimated 4,325,000 people in this country are illiterate. With new incentives and funding, the country is hoping to cut that number by 3% every year. How many people       Log On


   



Question 1206097: this year an estimated 4,325,000 people in this country are illiterate. With new incentives and funding, the country is hoping to cut that number by 3% every year. How many people do you predict will be illiterate in the year...
2035
2095
2155

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

The exponential equation would be
y+=+4325000%281-0.03%29%5Ex
which simplifies to
y+=+4325000%280.97%29%5Ex
x = number of years after this current year (2024)
y = estimated number of people who are illiterate

Let's estimate how many illiterate people there might be in the year 2035.
Plug in x = 11 because 2035-2024 = 11
y+=+4325000%280.97%29%5Ex

y+=+4325000%280.97%29%5E11

y+=+3093678.568356 approximately

y+=+3093679
We predict an estimated 3,093,679 people will be illiterate by the year 2035.
This assumes the country is able to keep up the 3% annual reduction over that 11 year timespan.

If we round to the nearest thousand (since it appears the initial population 4,325,000 has been rounded as such), then 3,093,679 rounds to 3,094,000.
I recommend to ask your teacher for rounding instructions.

I'll let the student do the other calculations.