In a certain country ,life expectance for males x_year from now is given by formula f(x)is equal to 210x+116/3x+4years.what will life expectance of males in country as time passes.?Discuss whether or not life expectance in the country increase
If your equation is
f(x) = 210x + 116/3x + 4
or
f(x) = 210x + 116/(3x+4)
then as time passes, f(x) rate will approach 210 years
If you meant to say that
f(x) = (210x+116)/(3x+4)
then f(x) will approach 210/3 = 70 years, starting at 116/4 = 29 at the present.
I'd guess that last is what you meant.
To find the life expectancy for males x years from now, we substitute x into the formula f(x) = (210x + 116) / (3x + 4) years.
Let's assume x = 0, which represents the current year. Substituting x = 0 into the formula gives us f(0) = (210(0) + 116) / (3(0) + 4) = 116/4 = 29 years.
Therefore, the current life expectancy for males in the country is 29 years.
To determine whether life expectancy in the country increases or not, we need to analyze the behavior of the formula as x increases.
As x increases, both the numerator (210x + 116) and denominator (3x + 4) of the formula will increase. However, the numerator increases at a faster rate than the denominator because the coefficient of x in the numerator (210) is greater than the coefficient of x in the denominator (3).
As a result, the value of the expression (210x + 116) / (3x + 4) increases as x increases. Therefore, the life expectancy for males in the country will also increase as time passes.
However, it is important to note that this conclusion assumes the formula accurately reflects the factors affecting life expectancy in the country. Changes in healthcare, lifestyle, and other socio-economic factors can significantly influence life expectancy, and the given formula may not consider all relevant variables.
To find the life expectancy of males x years from now using the given formula f(x) = (210x + 116) / (3x + 4) years.
We can substitute any value for x to find the life expectancy at that point in time. For example, if we want to find the life expectancy 10 years from now, we substitute x = 10 into the equation:
f(10) = (210(10) + 116) / (3(10) + 4)
= (2100 + 116) / (30 + 4)
= 2216 / 34
≈ 65.18 years
So, the life expectancy for males 10 years from now would be approximately 65.18 years.
Now, let's discuss whether or not the life expectancy in the country will increase as time passes.
From the given formula, we can observe that both the numerator (210x + 116) and denominator (3x + 4) increase as x increases.
As a result, the life expectancy of males in the country will generally increase over time. This suggests that, on average, people in the country are living longer as time passes.
However, it's important to note that this is a general trend and doesn't account for other factors that may influence life expectancy, such as advancements in healthcare, lifestyle changes, or socioeconomic factors.