Question

P = 106 t + 17700 gives the total population, P , of a small city t years after 1973. Use the equation to determine when (what year) the population reached a population of 18442 people.

Answer 1

Step-by-step explanation:

P =106t + 17700......(1)

Substituting P = 18442 in equation (1)

We find:

18442 = 106t + 17700

$\therefore \: 18442 - 17700 = 106t \\ \therefore \: 742 = 106t \\ \implies \: t = \frac{742}{106} \\ \implies \: t = 7 \\ \therefore \: 1973 + t = 1973 + 7 = 1980$

Hence, in the year 1980, the population of the city will reach to 18442.