Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
2. Exponential Growth and Decay
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Exercise 1 Page 286

What information does r give in the exponential growth function y = a(1+r)^x?

Rate of growth

Practice makes perfect
Exponential functions that increase by a constant factor or percentage over equal intervals of x are called exponential growth functions. They can be written in the format shown below.

y = a(1+r)^x Here, a represents the initial quantity and r tells us how fast the function is growing as a percentage, written in decimal form. This is why r is known as the rate of growth . With this in mind, we can complete the exercise's sentence.

In the exponential growth function y = a(1+r)^x, the quantity r is called the rate of growth.