Question

Chinisa is swinging on a swing. Her maximum height above the ground is 7 feet and her minimum height above the ground is 1 foot.

Select all of the equations that could model Chinisa's height above the ground (y) after x seconds of swinging assuming that the x-axis represents the ground.
A.
y = 6 sin(2x) + 4

B.
y = 6 cos(2x) + 4

C.
y = 6 tan(2x) + 4

D.
y = 3 sin(2x) + 4

E.
y = 3 cos(2x) + 4

F.
y = 3 tan(2x) + 4

Answer 1

The equations that could model Chinisa's height above the ground while swinging are D: y = 3 sin(2x) + 4 and E: y = 3 cos(2x) + 4.

Step-by-step explanation:

The equation that can model Chinisa's height above the ground is y = 3 sin(2x) + 4.

Let's analyze each option:

A. y = 6 sin(2x) + 4: This equation has a maximum height of 10 feet, which is higher than the stated maximum height of 7 feet.

B. y = 6 cos(2x) + 4: This equation oscillates between 2 and 10 feet, which is higher than the stated maximum height of 7 feet.

C. y = 6 tan(2x) + 4: This equation does not have an upper bound and can result in heights above the stated maximum height of 7 feet.

D. y = 3 sin(2x) + 4: This equation has a maximum height of 7 feet, which matches the stated maximum height.

E. y = 3 cos(2x) + 4: This equation oscillates between 1 and 7 feet, which matches the stated minimum and maximum heights.

F. y = 3 tan(2x) + 4: This equation does not have an upper bound and can result in heights above the stated maximum height of 7 feet.

Therefore, the equations that could model Chinisa's height above the ground are D and E.

Answer 2

6-4x(5) + 4= 9 your welcome