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.
Calculating the Value of Ashton's Car from 2014 to 2016
To calculate the value of Ashton's car in 2016 based on the percentage change from 2014 to 2016, we can follow these steps:
a. Percentage of Value in 2016 compared to 2014:
To find the value of Ashton's car in 2016 as a percentage of the value in 2014, we first need to consider the change of -22.4%. This indicates a decrease in value.
Value in 2016 = (100% - 22.4%) × Value in 2014
Value in 2016 = 77.6% × Value in 2014
To convert the percentage to a decimal, we get 0.776.
b. Times Larger Value in 2016 compared to 2014:
Next, we calculate how many times larger the value of Ashton's car in 2016 is compared to 2014. We already established that the value in 2016 is 77.6% of the value in 2014, which translates to 0.776 times as large.
c. Actual Value of Ashton's Car in 2016:
If the value of Ashton's car in 2014 was $12,600, we can determine the actual value of the car in 2016 using the calculated percentage:
Value in 2016 = 0.776 × $12,600
Value in 2016 ≈ $9,778.40
Therefore, the value of Ashton's car in 2016 was $9,778.40, reflecting a 22.4% decrease from the value in 2014.