In 2000 , there were 0.025 phone subscriptions per person in Africa for both mobile and land-line phones. After that, the land-line phone subscriptions steadily increased by 0.01 every 7 years, while the mobile phone subscriptions grew 48% per year. What was the total number of phone subscriptions per person in 2002 ? Choose 1 answer: (A) 0.027 (B) 0.034 (c) 0.073 (D) 0.083

Question

In 2000 , there were 0.025 phone subscriptions per person in Africa for both mobile and land-line phones. After that, the land-line phone subscriptions steadily increased by 0.01 every 7 years, while the mobile phone subscriptions grew  48% per year. What was the total number of phone subscriptions per person in 2002 ? Choose 1 answer: (A) 0.027 (B) 0.034 (c) 0.073 (D) 0.083

Bytelearn · Accepted Answer

Calculate Increase Land-line Subscriptions: Calculate the increase in land-line phone subscriptions from 2000 to 2002. Since the land-line phone subscriptions increased by 0.01 every 7 years, and only 2 years have passed by 2002, there would be no increase because the increase happens only every 7 years.Calculate Total Subscriptions per Person: Calculate the total land-line phone subscriptions per person by 2002. The initial land-line phone subscriptions per person in 2000 were part of the total 0.025 subscriptions per person. Since there was no increase, the land-line subscriptions per person in 2002 remain the same as in 2000. Total land-line subscriptions per person in 2002 = 0.025Calculate Increase Mobile Subscriptions: Calculate the increase in mobile phone subscriptions from 2000 to 2002. The mobile phone subscriptions grew by 48% per year. To find the total growth over 2 years, we need to apply the growth rate for each year. For the first year (2000 to 2001):  Growth = 0.025 * 48% = 0.025 * 0.48Calculate Mobile Subscriptions per Person: Calculate the mobile phone subscriptions per person at the end of the first year (2001). Mobile subscriptions in 2001 = Initial subscriptions + Growth in the first year = 0.025 + (0.025 * 0.48) = 0.025 + 0.012 = 0.037Calculate Growth Second Year: Calculate the growth for the second year (2001 to 2002) based on the subscriptions at the end of the first year. Growth in the second year = 0.037 * 48% = 0.037 * 0.48Calculate Mobile Subscriptions per Person: Calculate the mobile phone subscriptions per person at the end of the second year (2002). Mobile subscriptions in 2002 = Subscriptions at the end of the first year + Growth in the second year = 0.037 + (0.037 * 0.48) = 0.037 + 0.01776 = 0.05476Calculate Total Subscriptions per Person: Calculate the total phone subscriptions per person in 2002 by adding the land-line and mobile subscriptions together. Total subscriptions in 2002 = Land-line subscriptions + Mobile subscriptions = 0.025 + 0.05476 = 0.07976 This value does not match any of the options provided, indicating a possible error in the calculations.

Full solution

More problems from Interpret parts of quadratic expressions: word problems

Related topics