The population of algebra was 34.9 million in 2009 and has been growing by about 2.6% each year....

Question:

The population of algebra was 34.9 million in 2009 and has been growing by about 2.6% each year. If this trend continues, when will the population exceed 45 million?

Exponential Growth:

Suppose that {eq}Q(t) {/eq} is some quantity that varies over time. We say that {eq}Q(t) {/eq} grows exponentially if there is some constant {eq}k > 1 {/eq} such that {eq}Q(t+1)=kQ(t) {/eq} for any {eq}t {/eq}. A quantity {eq}Q(t) {/eq} that grows exponentially in this way satisfies the equation {eq}Q(t)=Q(0)k^t {/eq}.

Answer and Explanation:

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Let {eq}P(t) {/eq} be the population {eq}t {/eq} years after 2009, in millions of people. If the population is growing by 2.6% each year, then...

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Exponential Growth: Definition & Examples

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Chapter 6 / Lesson 10
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