Question

Part D: Write an equation that would represent the

number of seconds it took the skydiver to reach a

height of 400 meters and use the equation to solve for

that time.

Part E: What is an appropriate domain for the

situation

A 0
B. 0
C. Sy s 44.7

DO Sy 5 760

Answer 1

The answer is below

Explanation:

The question is not complete, the complete question is:

A skydiver is 760 meters above the ground when he opens his parachute. After opening the parachute, he descends at a constant speed of 17 meters per second.

a) A function gives a relationship between two variables (an independent and dependent variable). The dependent variable is dependent on other variables (output) while the independent variable is not dependent on other variables (input).

Let x be the number of seconds after the parachute is opened and y be the height of the parachute above the ground. Hence the equation that models the situation is:

y = 760 - 17x

At a height of 400 m, the number of seconds is:

y = 760 - 17x

400 = 760 - 17x

17x = 760 - 400

17x = 360

x = 21.2

x ≅ 21 seconds

It takes 21 seconds to reach a height of 400 m

b) Domain is the set of all independent variables. In this case the independent variable is the time (x)

The minimum time is at y = 760

y= 760 - 17x

760 = 760 - 17x

17x = 0

x = 0

The maximum time is at y = 0

y= 760 - 17x

0 = 760 - 17x

17x = 760

x = 44.7

Hence the domain = 0 ≤ x ≤ 44.7