Question:
The initial population of a village is 750. Every year, 50 people move from a nearby city to the village.
(A) Find the population of the village after 6 years.
(B) Make a table of values for varying from to years and show how the population, , increases every year.
(C) Find an expression that relates P and t, and explain why it represents linear growth. [Page No. 25]
Answer:
Verified
(A) Population after 6 years =
(B) Table of values:
| (years) | (population) |
|---|---|
| 0 | 750 |
| 1 | 800 |
| 2 | 850 |
| 3 | 900 |
| 4 | 950 |
| 5 | 1000 |
| 6 | 1050 |
| 7 | 1100 |
| 8 | 1150 |
| 9 | 1200 |
| 10 | 1250 |
(C) Expression of given problem is given by
P = 750 + 50t
It represents linear growth because P increases by a constant 50 every year.
