# Chapter 2 - 2.5 - Transformations of Functions - 2.5 Exercises - Page 213: 62b

$\approx 1,202,000$ households/year

#### Work Step by Step

We are given the function: $N(x)=-0.023(x-33.12)^2+131$, $0\leq t\leq 14$ Find the average rate of change of the function from 2000 to 2014, that is from $t=0$ to $t=14$: $\dfrac{N(14)-N(0)}{14-0}=\dfrac{[-0.023(14-33.12)^2+131]-[-0.023(0-33.12)^2+131]}{14}=\dfrac{122.592-105.771}{14}=\dfrac{16.821}{14}\approx 1.202$ This means that the number of households increased by an average of 1,202,000 each year from 2000 to 2014.

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