Chapter 7.7, Problem 1P

Identify the initial amount $a$ and the growth factor $b$ in each exponential function.

$f(x)=3\cdot 5^x$

To determine

To Identify: The initial amount ‘ a’ and growth factor ‘ b’ in the exponential function.

Answer to Problem 1P

  $a=3;b=5$

Explanation of Solution

Given information:The exponential function is $f(x)=3*5^x$

Formula used: Exponential growth functions are in the form of $f(x)=a*b^x$ . Compare the given function with this standard form to get value of ‘ a’ and ‘ b’ . Where ‘ a’ is initial amount and ‘ b’ is growth factor.

Calculation:

Compare the given function with standard form to get the values of a and b .

  $f(x)=a*b^x$

  $f(x)=3*5^x$

Initial amount $a=3$

Growth factor $b=5$