Question

a balloon is released from the top of a platform that is 50 m tall the balloon Rises at the rate of 4 meters per second identify the input variable output variable initial value and rate of change

Answer 1

Let's begin by identifying key information given to us:

Height = 50 m

velocity = 4m/s

The input variable is the number of seconds

The output variable is the theight of the ballon

The equation:

`\begin{gathered} y=4x+50 \\ \text{Comparing this equation with the standard equation,}y=mx+b \\ \Rightarrow m=4,b=50 \\ m=4 \end{gathered}`

Therefore, the rate of change equals 4