Question
If the average rate of change between ages 8080 and 9090 is negative 0.47−0.47, this means that
A.life expectancy is 4.7 years between ages 80 and 90.
life expectancy is 4.7 years between ages 80 and 90.life expectancy is 4.7 years between ages 80 and 90.
B.life expectancy decreases each year between the ages of 80 and 90 by 0.47 years.
life expectancy decreases each year between the ages of 80 and 90 by 0.47 years.life expectancy decreases each year between the ages of 80 and 90 by 0.47 years.
C.life expectancy increases by 0.47 years between the ages of 80 and 90.
life expectancy increases by 0.47 years between the ages of 80 and 90.life expectancy increases by 0.47 years between the ages of 80 and 90.
D.life expectancy decreases by 0.47 years between the ages of 80 and 90.
life expectancy decreases by 0.47 years between the ages of 80 and 90.life expectancy decreases by 0.47 years between the ages of 80 and 90.
A.life expectancy is 4.7 years between ages 80 and 90.
life expectancy is 4.7 years between ages 80 and 90.life expectancy is 4.7 years between ages 80 and 90.
B.life expectancy decreases each year between the ages of 80 and 90 by 0.47 years.
life expectancy decreases each year between the ages of 80 and 90 by 0.47 years.life expectancy decreases each year between the ages of 80 and 90 by 0.47 years.
C.life expectancy increases by 0.47 years between the ages of 80 and 90.
life expectancy increases by 0.47 years between the ages of 80 and 90.life expectancy increases by 0.47 years between the ages of 80 and 90.
D.life expectancy decreases by 0.47 years between the ages of 80 and 90.
life expectancy decreases by 0.47 years between the ages of 80 and 90.life expectancy decreases by 0.47 years between the ages of 80 and 90.
Answers
GPT-4o mini
The average rate of change between ages 80 and 90 being negative 0.47 means that there is a decrease in life expectancy over that interval.
Here's the interpretation of each option:
A. "life expectancy is 4.7 years between ages 80 and 90." - This is incorrect. The average rate of change does not express total life expectancy.
B. "life expectancy decreases each year between the ages of 80 and 90 by 0.47 years." - This suggests a consistent yearly decrease of 0.47 years, which is not necessarily implied by the overall average rate of change.
C. "life expectancy increases by 0.47 years between the ages of 80 and 90." - This is incorrect because the rate of change is negative.
D. "life expectancy decreases by 0.47 years between the ages of 80 and 90." - This is the correct interpretation. The negative average rate of change indicates that life expectancy decreases, and while the exact value indicates an overall decrease over the entire range, it properly reflects the overall trend.
So, the correct answer is **D**.
Here's the interpretation of each option:
A. "life expectancy is 4.7 years between ages 80 and 90." - This is incorrect. The average rate of change does not express total life expectancy.
B. "life expectancy decreases each year between the ages of 80 and 90 by 0.47 years." - This suggests a consistent yearly decrease of 0.47 years, which is not necessarily implied by the overall average rate of change.
C. "life expectancy increases by 0.47 years between the ages of 80 and 90." - This is incorrect because the rate of change is negative.
D. "life expectancy decreases by 0.47 years between the ages of 80 and 90." - This is the correct interpretation. The negative average rate of change indicates that life expectancy decreases, and while the exact value indicates an overall decrease over the entire range, it properly reflects the overall trend.
So, the correct answer is **D**.