At the end of 1993, scientists tracked 1550 nonfunctional components in orbit and projected 46 such objects are added each year. Suppose that an average of 12 of these are brought back to Earth each year.

1) Let t represent time in years. Write the function D that models the total number of cataloged nonfunctional components in orbit at the end of the year if 46 such objects are added each year to the initial 1550 objects in orbit.

2) Based on the function for D, what would be the total amount of nonfunctional componentes in 2014? Let 1993 be represented by 0.

Question

At the end of 1993, scientists tracked 1550 nonfunctional components in orbit and projected 46 such objects are added each year. Suppose that an average of 12 of these are brought back to Earth each year. 

1) Let t represent time in years. Write the function D that models the total number of cataloged nonfunctional components in orbit at the end of the year if 46 such objects are added each year to the initial 1550 objects in orbit. 

2) Based on the function for D, what would be the total amount of nonfunctional componentes in 2014? Let 1993 be represented by 0.

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3) Write the function R that models the total number of components that reenter the atmosphere around Earth each year.

4) How many components reentered the atmosphere around earth by 1997? Let 1993 be represented by 0.

5) Write a function relating time, t, in years and the total number of nonfuctional components in orbit as a difference of D and R