Question

In 2014, the average age of cars on U.S. roads was 11.3 years. This average age increased by approximately 0.2 years per year. If this trend continues, how many years after 2014 will the average age of vehicles on U.S. roads be 12.3 years?

Answer 1

The average age of vehicles on U.S. roads will be 12.3 years 5 years after 2014.

Step-by-step explanation:

We can use the formula for arithmetic progression to solve this problem. The formula is given by: An = A1 + (n-1)d, where An is the nth term, A1 is the first term, n is the number of terms, and d is the common difference.

In this case, the first term A1 is 11.3 years, the common difference d is 0.2 years, and we want to find the number of years n when the average age of vehicles is 12.3 years.

Substituting these values into the formula, we get: 12.3 = 11.3 + (n-1)(0.2). Solving this equation, we find that n = 5.

Therefore, the average age of vehicles on U.S. roads will be 12.3 years 5 years after 2014.

Learn more about average age of vehicles on U.S. roads