Chapter-2, Introduction to Linear Polynomials, Exercise 2.4 class 9, Math, PART-5

PART-5 Exercise 2.4
1. Suppose a plant has height 1.75 feet and it grows by 0.5 feet each
month.
(i) Find the height after 7 months.
(ii) Make a table of values for t varying from 0 to 10 months and
show how the height, h, increases every month.
(iii) Find an expression that relates h and t, and explain why it
represents linear growth.

2. A mobile phone is bought for `10,000. Its value decreases by
`800 every year.
(i) Find the value of the phone after 3 years.
(ii) Make a table of values for t varying from 0 to 8 years and
show how the value of the phone, v, depreciates with time.
(iii) Find an expression that relates v and t, and explain why it
represents linear decay.

3. 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.
(ii) Make a table of values for t varying from 0 to 10 years and
show how the population, P, increases every year.
(iii) Find an expression that relates P and t, and explain why it
represents linear growth.

4. A telecom company charges `600 for a certain recharge scheme.
This prepaid balance is reduced by `15 each day after the recharge.
(i) Write an equation that models the remaining balance b(x)
after using the scheme for x days. Explain why it represents
linear decay.
(ii) After how many days will the balance run out?
(iii) Make a table of values for x varying from 1 to 10 days and
show how the balance b(x), reduces with time.

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