Calculating the Value of Ashton's Car from 2014 to 2016
From 2014 to 2016 the value of Ashton's car changed by -22.4% a. The value of Ashton's car in 2016 was what percent of the value of Ashton's car in 2014? b. The value of Ashton's car in 2016 was how many times as large as the value of Ashton's car in 2014? c. If the value of Ashton's car in 2014 was $12,600, what was the value of Ashton's car in 2016?
To calculate the answers, we first need to find the percentage change in the value of Ashton's car from 2014 to 2016. We are given that the change is -22.4%, which means the value decreased. a. Calculate the value of Ashton's car in 2016 as a percentage of the value in 2014: Value in 2016 = (100% - 22.4%) × Value in 2014 Value in 2016 = 77.6% × Value in 2014 Convert the percentage to a decimal: 77.6% = 0.776 b. Calculate the value of Ashton's car in 2016: Value in 2016 = 0.776 × Value in 2014 Given that the value of Ashton's car in 2014 is $12,600: Value in 2016 = 0.776 × $12,600 Value in 2016 ≈ $9,778.40 c. Therefore, the value of Ashton's car in 2016 was $9,778.40.