Source:
At the end of 1993, scientists tracked 1550 nonfunctional components in orbit and projected 42 such objects are added each year. Suppose that an average of 15 of these are brought back to Earth each year.
Question.
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 42 such objects are added each year to the initial 1550 objects in orbit.
help please?
start with D = 1550
add 42 each year for t years = 42t
subtract 15 each year for t years = -15t
so, D(t) = 1550 + 42t - 15t = 1550 + 27t
2. Based on the function D, what would be the total amount of nonfunctional components in 2014?let 1993 be represented by 0
To write the function D that models the total number of cataloged nonfunctional components in orbit at the end of the year, we need to consider the initial number of objects in orbit and the rate at which new objects are added each year.
Given that there are initially 1550 nonfunctional components in orbit, and an additional 42 objects are added each year, the function D can be written as:
D(t) = 1550 + 42t
Here, t represents time in years. By plugging in different values of t, you can calculate the total number of cataloged nonfunctional components in orbit at the end of each year.