Chapter 2: Introduction to Linear Polynomials

Exercise

Question

Question: 3 (i)

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The initial population of a village is 750. Every year, 50 people move from a nearby city to the village.

(i) Find the population of the village after 6 years.

Answer

1
Determine the linear expression for the village population after t years.
Initial population = 750
\text{Increase in population over $t$ years = $50t$ $\quad$ ${color:#625b5f}[Yearly increase = 50]{/color}$}
Hence, linear expression for village population $P$ after $t$ years = $750 + 50t$
2
Find the village population after 6 years using the linear expression.
\text{$750 + 50 × {color:#2E2EFF}6{/color}$}
⇒
$750 + 300$
⇒
$1050$
3
Write the village population after 6 years.
Answer: Village population after 6 years = 1,050
Sponsored320 x 50