Question

a weather balloon is launched from a height of 475 feet above sea level. the balloon rises at a constant rate of 85 feet per minute. write an equation to determine t, the time in minutes, it will take the balloon to reach h, the height in feet above sea level. then rewrite the function using function notation. use function notation to measure the balloon's height at 16 minutes

Answer 1

In this question , it is given that a weather balloon is launched from a height of 475 feet above sea level. the balloon rises at a constant rate of 85 feet per minute.

Here we use the slope intercept form, which is

$y = mx+b$

Where, y is the height h, x is the time, t. And m represents slope, which is 85.

b represents the initial height , which is 475 feet.

On substituting these values, we will get

$h = 85t+475$

And at t = 16 minutes, we will get

$h = 85(16) +475 = 1835 feet$