The value of a particular car dropped from 25,000 in may 21,000 in october.find the rate of change in value
4000/25000 = 4/25 = .16
Hmmm. I would have said
5 months to drop 4000 = -800$/month
Don't think we're talking % change here, since we were asked for a rate, which is usually measured in units/time.
Pick the correct interpretation.
To find the rate of change in value, you need to calculate the difference in value and divide it by the time period it took for that change to occur. In this case, the change in value is from $25,000 to $21,000 and the time period is from May to October.
Step 1: Calculate the difference in value:
Value_change = Final_value - Initial_value
= $21,000 - $25,000
= -$4,000 (a negative value indicates a decrease in value)
Step 2: Calculate the time period in months:
As the difference is between May and October, there are 6 months in total.
Step 3: Calculate the rate of change:
Rate_of_change = Value_change / Time_period
= -$4,000 / 6 months
= -$666.67/month (rounded to two decimal places)
Therefore, the rate of change in value for the car is approximately -$666.67 per month.