Monday

January 26, 2015

January 26, 2015

Posted by **alexis** on Tuesday, November 1, 2011 at 4:53pm.

f(0) = 200 and f(3) = 2000.

a) Use the form f(t) = Pe^rt to find the equation of this exponential function.

b) In the form f(x) = Pa^x, a is the growth factor. find the growth factor.

c)What input value gives an output value of 5,000?

- math - algebra -
**abiba**, Tuesday, November 1, 2011 at 6:50pmmr.jagodnishvil

- math - algebra -
**Steve**, Tuesday, November 1, 2011 at 11:57pm200 = Pe^0 = P

2000 = Pe^rt = 200e^3r

e^3r = 10

3r = ln 10

r = ln10/3 = 0.7675

f(x) = 200a^x = 200e^.7675x

a^x = e^.7675x

a = e^.7675 = 2.154

5000 = 2.154^x

ln 5000 = x ln 2.154

x = ln5000/ln2.154 = 11.1

**Answer this Question**

**Related Questions**

math - algebra - f(t) is an exponential function with f(0) = 200 and f(3) = 2000...

math - algebra - f(t) is an exponential function with f(0) = 200 and f(3) = 2000...

Math - Let f(t) be an exponential function with f(0) = 11 and f(4) = 59. Use the...

Algebra Help - Let x = log_2 1/8 Write the exponential form of the equation and ...

horizontal asymptote - Find the horizontal asymptotes of the function's graph y...

MATH - State whether each equation in Exercises 25–30 represents a linear, ...

algebra - In 1990, the population of Africa was 643 million and by 2000 it had ...

Algebra - Describe how an exponential function changes as the base increases. ...

Math - Exponential equation - Solve the exponential equation. Express your ...

Math - State whether the equation y=10^3x represents a linear, quadratic, or ...