(40 points)

the function f(x) = 501170(0.98)^x gives the population of a texas city x years after 1995

1. what was the population in 1995?
2. is the population increasing or decreasing?
3. what is the rate of population change?
4. based on the function, what is the population predicted to be in 2020?

1.  f(0) =  501170

2.  decreasing

3.  2% decrease

4. 302438

Step-by-step explanation:

In 1995 x=0

f(x) = 501170(0.98)^0

f(0) =  501170

The population is decreasing since we are multiplying by .98 ^x

.98 is less than 1 so it is getting smaller each time.

1 -.98 = .02

It is decreasing by 2 % each year

2020-1995  =25 years

f(25) = 501170(0.98)^25

        =302438.41862

Rounding to the nearest whole number

          302438

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24