Question

Functions R and D give the height, in feet, of atoy rocket and a drone, t seconds after they arereleased.Here are the graphs of R (for the rocket) and I(for the drone).Write each statement in function notation:1. At 3 seconds, the toy rocket is higher than the drone.2. At the start, the toy rocket is 25 feet above the drone.

Answer 1

Step 1: State the given in the question

It was given that the functions R and D give the height, in feet, of a toy rocket and a drone, t seconds after they are released.

Step 2: State what is to be determined

We are to determine the function notation of:

1. At 3 seconds, the toy rocket is higher than the drone.

2. At the start, the toy rocket is 25 feet above the drone.

In other to achieve we would first represent function R and D.

Step 3: Represent function R and D

Let the function R and D in terms of t as shown below:

$\begin{gathered} \text{Function R is} \\ R(t) \\ \text{Function D is} \\ D(t) \end{gathered}$

The function notation for the statement "at 3 seconds, the toy rocket is higher than the drone" would be as shown below:

$\begin{gathered} R(t)>D(t) \\ \text{When t = 3seconds. Therefore:} \\ R(3)>D(3) \end{gathered}$

The function notation for the statement "at the start, the toy rocket is 25 feet above the drone" would be as shown below:

$\begin{gathered} \text{Please note that at the start, the time is t = 0. So,} \\ R(t)=D(t)+25 \\ \text{When t = 0, Then, we would have:} \\ R(0)=D(0)+25 \end{gathered}$

ANSWER SUMMARY

The function notation for

1) At 3 seconds, the toy rocket is higher than the drone is R(3) > D(3)

2) At the start, the toy rocket is 25 feet above the drone is R(0) = D(0) + 25