Respuesta :
Answer:
To find the value of L, the equation that we could use is L = 76.5 + 0.4. This equation uses the known information that the life expectancy for women increased by 0.4 years from 1996 to 2006. The other equations don't make sense in this context. For example, the equation L - 10 = 0.4 would imply that a woman born in 1996 had a life expectancy of 10 years, which doesn't make sense given the known information. So, the only equation that works is L = 76.5 + 0.4.
To find the value of L, we need to consider the change in life expectancy from 1996 to 2006. We are told that in 2006, the life expectancy was 0.4 years greater than in 1996.
Let's analyze the options provided:
a. L - 10 = 0.4: This equation subtracts 10 from L, which is not a valid operation based on the given information. We are only concerned with the change in life expectancy between 1996 and 2006, not the actual values.
b. L + 0.4 = 76.5: This equation adds 0.4 to L, which represents the change in life expectancy between 1996 and 2006. It is a valid equation since we know that the life expectancy in 2006 was 0.4 years greater than in 1996.
c. L + 76.5 = 0.4: This equation adds 76.5 to L, which does not reflect the change in life expectancy between 1996 and 2006. It adds the life expectancy of a woman born in 1996 to the change value.
d. L - 0.4 = 76.5: This equation subtracts 0.4 from L, which is not a valid operation based on the given information. We know that the life expectancy in 2006 is greater than in 1996, so subtracting 0.4 would give an incorrect result.
Therefore, the correct equation to find the value of L is option b: L + 0.4 = 76.5. It represents the increase in life expectancy from 1996 to 2006.
Answer:
d. L -0.4 = 76.5
Step-by-step explanation:
You want an equation that could be used to find L, the life expectancy of a woman in 2006, if it is greater by 0.4 years than the 76.5 year life expectancy in 1996.
Greater than
If the life expectancy is greater by 0.4 years from what it was, we can subtract 0.4 year to get the value it was:
2006 expectancy - 0.4 years = 1996 expectancy
L - 0.4 = 76.5 . . . . . . matches choice D
__
Additional comment
We might ordinarily come at this using the equation ...
L = 76.5 +0.4 . . . . . . doesn't match any answer choice
When we subtract 0.4 from both sides, we get ...
L -0.4 = 76.5 . . . . . matches one of the choices
