Exercise 2.4

Suppose a plant has height 1.75 feet and it grows by 0.5 feet each month. Find the height after 7 months.

Suppose a plant has height 1.75 feet and it grows by 0.5 feet each month. Make a table of values for t varying from to 10 and show how the height, h, increases every month.

Suppose a plant has height 1.75 feet and it grows by 0.5 feet each month. Find an expression that relates h and t, and explain why it represents linear growth.

A mobile phone is bought for ₹10000. Its value decreases by ₹800 every year. Find the value of the phone after 3 years.

A mobile phone is bought for ₹10000. Its value decreases by ₹800 every year. 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.

A mobile phone is bought for ₹10000. Its value decreases by ₹800 every year. Find an expression the relates v and t, and explain why it represents linear decay.

The initial population of a village is 750. Every year, 50 people move from a nearby city to the village. Find the population of the village after 6 years.

The initial population of a village is 750. Every year, 50 people move from a nearby city to the village. Make a table of values for t varying from 0 to 10 years and show how the population, P, increases every year.

The initial population of a village is 750. Every year, 50 people move from a nearby city to the village. Find an expression that relates P and t, and explain why it represents linear growth.

A telecom company charges ₹600 for a certain recharge scheme. This prepaid balance is reduced by ₹1 each day after recharge. Write an equation that models the remaining balance b(x) after using the scheme for x days. Explain why it represents linear decay.

A telecom company charges ₹600 for a certain recharge scheme. This prepaid balance is reduced by ₹15 each day after recharge. After how many days will the balance run out?

A telecom company charges ₹600 for a certain recharge scheme. This prepaid balance is reduced by ₹15 each day after recharge. Make a table of values for x varying from 1 to 10 days and show how the balance b(x), reduces with time.