The amount of money a certain government spent on food and nutrition assistance (in billions of dollars) can be approximated by the function f(x)=(75.5)/(1+8.16e^-0.44x) where x=0 corresponds to the year 2000. Use a graphing calculator or other technology to complete parts (a)and (b) (a) Find the amount spent in 2013 and 2020 Write the expression that can be used to find the amount spent in the year 2013 (in billions of dollars). square (Do not evaluate.)

Question

The amount of money a certain government spent on food and nutrition assistance (in billions of dollars) can be approximated by the function f(x)=(75.5)/(1+8.16e^-0.44x) where x=0 corresponds to the year 2000. Use a graphing calculator or other technology to complete parts (a)and (b) (a) Find the amount spent in 2013 and 2020 Write the expression that can be used to find the amount spent in the year 2013 (in billions of dollars). square (Do not evaluate.)

Answer 1

To find the amount spent in 2013, we need to substitute the value of x into the function f(x). Since x=0 corresponds to the year 2000, we can find the value of x for the year 2013 by subtracting 2000 from 2013, which gives us x=13.The expression that can be used to find the amount spent in the year 2013 is:f(13) = \frac{75.5}{1+8.16e^{-0.44*13}}This expression represents the amount spent in billions of dollars on food and nutrition assistance in the year 2013.

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