Class 9th Maths Ganita Manjari - Part I Chapter 2: Introduction to Linear Polynomials Exercise 4: Exercise Set 2.4 Question 3 (ii) Solution

Question

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

(ii) Make a table of values for t varying from 0 to 10 years and show how the population, P, increases every year.

Accepted Answer

Recall the expression derived in the previous question for the village population $P$ and time $t$.
 	ext{$P = 750 + 50t$} Find the population for each value of $t$ from 0 to 10 years using the linear expression.
 ${color:green}	extbf{Answer: The table shows how the village population increases by 50 people every year.}{/color}$|||TABLE#START header=true headerBold=true headerAlign=center|center bodyAlign=center|center colWidths=50|50 headerBg=#e2e8f0 bodyBg=#ffffff|||COL#1 $t$ (years) COL#2 $P$ (people)|||COL#1 0 COL#2 750 + 50 × 0 = 750|||COL#1 1 COL#2 750 + 50 × 1 = 800|||COL#1 2 COL#2 750 + 50 × 2 = 850|||COL#1 3 COL#2 750 + 50 × 3 = 900|||COL#1 4 COL#2 750 + 50 × 4 = 950|||COL#1 5 COL#2 750 + 50 × 5 = 1000|||COL#1 6 COL#2 750 + 50 × 6 = 1050|||COL#1 7 COL#2 750 + 50 × 7 = 1100|||COL#1 8 COL#2 750 + 50 × 8 = 1150|||COL#1 9 COL#2 750 + 50 × 9 = 1200|||COL#1 10 COL#2 750 + 50 × 10 = 1250|||TABLE#END

$t$ (years)	$P$ (people)
0	750 + 50 × 0 = 750
1	750 + 50 × 1 = 800
2	750 + 50 × 2 = 850
3	750 + 50 × 3 = 900
4	750 + 50 × 4 = 950
5	750 + 50 × 5 = 1000
6	750 + 50 × 6 = 1050
7	750 + 50 × 7 = 1100
8	750 + 50 × 8 = 1150
9	750 + 50 × 9 = 1200
10	750 + 50 × 10 = 1250

Question: 3 (ii)

Answer