HELP PLEASE!! MATH HELP!!!

1. What function equation is represented by this graph?

A. f(x)=20(25)x

B. f(x)=20(35)x

C. f(x)=20(52)x

D. f(x)=20(53)x

2. What function equation is represented by this graph?

A. f(x)=40(1.5)x

B. f(x)=40(2.5)x

C. f(x)=40(2.25)x

D. f(x)=40(3.25)x

3.
The population of a city is 35,400. The population is expected to grow at a rate of 2% each year.

What function equation represents the population of the city after t years?

A. f(t)=35,400(0.02)t

B. f(t)=35,400(2)t

C. f(t)=35,400(1.2)t

D. f(t)=35,400(1.02)t

4. The ordered pairs model an exponential function, where p is the function name and t is the input variable.

{(1,80),(2,240),(3,720),(4,2160)}{(1, 80), (2, 240), (3, 720), (4, 2160)}

What is the function equation in sequence notation?

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Below are the answers:

1. B. f(x)=20(35)x
2. C. f(x)=40(2.25)x
3. A. f(t)=35,400(0.02)t
4. First graph.

Answer Link

MissPhiladelphia MissPhiladelphia · Answer 2 · 2016-12-27T02:09:13+01:00

1. The graph is of exponential decay and the equation should be in the form:
f(x) = a (k^-x)
where a is the initial value and k is the multiplicative rate of change. Among the choices, there is no exact correct answer. Most probably, the answer is:
D. f(x)=20(53)x

2. The exact answer is:
C. f(x)=40(2.25)x
Since the initial value is 40 and the multiplicative rate of change is 2.25

3. The answer is
D. f(t)=35,400(1.02)t
Since the initial value is 35400 and the increase is 2%

4. Given this:
{(1,80),(2,240),(3,720),(4,2160)}

The function in sequence form is:
p(t) = 80(3)^(t-1)