Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
2. Exponential Growth and Decay
Continue to next subchapter

Exercise 14 Page 286

Use the general form of an exponential function, y=ab^x. Recall that b=1+r, where r is the rate of growth or decay.

y=35 000 (1.04)^x

Practice makes perfect
To write an exponential function to model the given situation, let's first recall the general form of an exponential equation.

y=a b^x In this formula, a is the initial value and b= 1+r, where r is the rate of change. To write the equation, we first need to define the variables. Let y be the annual salary, and let x be the number of years after the initial value. In this case, the initial value is a annual salary of $35 000. Since the salary increases 4 % each year, we have that r=0.04. y=35 000 ( 1+0.04)^x ⇕ y=35 000 ( 1.04)^x