Can you anticipate the sales of cell phone in 1983 in this s

Can you anticipate the sales of cell phone in 1983 in this sales model? Write (and evaluate) the mathematical operations to justify your reasoning Write a mathematical operation using exponents (Do not evaluate) to describe how many cell phones were sold in the year 2003 explain your reasoning! Write a mathematical expression for how many tomatoes will be on the plant the tenth following Monday (indicate how you reached this mathematical expression): Each of the tomatoes she picks gives 3 tomatoes a week later, to we that the pattern in each week we multiply by 3? The first mobile telephone cell, in the 1940s, didn\'t exactly corresponds to our current idea of cell-phone-calls-it used over 30 pounds\' worth of electronic equipment! Researcher Marrin cooper of Motorola is credited with making the first call on a bandheld (if rather heavy) handset on April 3, 1973- to his rival Dr. Joel S. Engel Since the race between Motorola and bell to develop the first portable mobile phone, cell-phones have enjoyed ever-growing popularity Suppose that annual cell-phone sales double each year. Suppose farther that a single cell phone was sold in 1973. How many were sold in 1974? Since only cell phone was sold in 1973 and we supposed that the annual cell-phone sales would be doubled afterward, two cell phone were sold in 1974 because 2(the increase of the sales amount in one year (1974-1973))- 1(the actual amount of sales in 1973) How many were sold in 1975? How many were sold in 1976? How many were sold in 1977

Solution

8) Mobiles sold in 1975

Mobile sold in 1975 = 2 * Mobiles sold in 1974

=> 2 * 2 = 4

Hence 4 mobiles are sold in the year 1975

9) Mobiles sold in 1976

Mobile sold in 1976 = 2 * Mobiles sold in 1975

=> 2 * 4 = 8

Hence 8 mobiles are sold in the year 1976

10) Mobiles sold in 1977

Mobile sold in 1977 = 2 * Mobiles sold in 1976

=> 2 * 8 = 16

Hence 16 mobiles are sold in the year 1977

11)

Number of mobiles sold in 1983 = 2^(1983-1973) = 2^(10) = 1024 mobiles

Hence in 1983, number of mobiles sold will be equal to 1024 mobiles

Number of mobiles sold in each year after 1973 can be written

Mobile sold in year t = 2^(t-1973), where t>=1973 and t belongs to natural number

12)

Mobile phones sold in the year 2003 = 2^(2003-1973) = 2^(30) = 1073741824 mobiles