Answer
$\approx 128,156,000$ households
Reasonable amount
Work Step by Step
We are given the function:
$N(x)=-0.023(x-33.12)^2+131$, $0\leq t\leq 14$
In order to predict the number of households in 2022, we compute $N(22)$:
$N(22)=-0.023(22-33.12)^2+131\approx 128.156$
The prediction seems reasonable as the number of households is increasing on average.
