Question

A used car dealer has 5 cars that are 3 years old, 4 cars that are 4 years old, 3 cars that are 5 years old, and 1 car that is 2 years old. What is the weighted average age of the cars at the dealership? (Round your answer to the nearest tenth.)

a) 28 years
b) 3.3 years
c) 3.7 years
d) 4.1 years
e) 4.9 years

Answer 1

To find the weighted average age of the cars, multiply each age by the number of cars at that age, add the results, and divide by the total number of cars. The weighted average age is approximately 3.7 years.

Step-by-step explanation:

To calculate the weighted average age of the cars at the dealership, you would multiply the age of the cars by the number of cars at each age, sum up those products, and then divide by the total number of cars. Here's the calculation:

• (3 years * 5 cars) + (4 years * 4 cars) + (5 years * 3 cars) + (2 years * 1 car) = 15 + 16 + 15 + 2 = 48 total years.
• The total number of cars is 5 + 4 + 3 + 1 = 13 cars.
• The weighted average is 48 total years / 13 cars ≈ 3.7 years.

Therefore, rounded to the nearest tenth, the weighted average age of the cars is 3.7 years.