In 1972 federal vehicle emission standards allowed 3.4 hydrocarbons released per mile driven. By 2007 the standards allowed only 0.8 hydrocarbons per mile driven. What was the rate of change from 1972 to 2007?
Since it’s talking about rate of change you want to take 3.4-0.8 to get 2.6
To find the rate of change in hydrocarbon emissions from 1972 to 2007, we can use the formula for rate of change:
Rate of change = (Final value - Initial value) / Time
In this case, the initial value is 3.4 hydrocarbons per mile driven in 1972, the final value is 0.8 hydrocarbons per mile driven in 2007, and the time is 2007 - 1972 = 35 years.
Let's plug in the values:
Rate of change = (0.8 - 3.4) / 35
Rate of change = -2.6 / 35
Rate of change ≈ -0.0743
Therefore, the rate of change from 1972 to 2007 is approximately -0.0743 hydrocarbons per mile driven per year.
To find the rate of change from 1972 to 2007, we need to calculate the difference between the hydrocarbon standards in 2007 and 1972, and then divide it by the number of years between the two dates.
First, let's find the difference in hydrocarbon standards:
Difference in hydrocarbon standards = Hydrocarbon standards in 2007 - Hydrocarbon standards in 1972
Hydrocarbon standards in 2007 = 0.8 hydrocarbons per mile driven
Hydrocarbon standards in 1972 = 3.4 hydrocarbons per mile driven
Difference in hydrocarbon standards = 0.8 - 3.4 = -2.6 hydrocarbons per mile driven
Next, we need to calculate the number of years between 1972 and 2007:
Number of years = 2007 - 1972 = 35 years
Finally, we can find the rate of change by dividing the difference in hydrocarbon standards by the number of years:
Rate of change = Difference in hydrocarbon standards / Number of years
Rate of change = -2.6 / 35
Simplifying the calculation, we can approximate the rate of change as -0.074 hydrocarbons per mile driven per year.
(0.8-3.4)/(2007-1972) = -2.6/35 = -0.074 (hc/mile)/year
if you want a % yearly rate, then that would be -0.77%/year