Question

this question has two parts. first, answer part a. then, answer part b.
part a
in 2012, james cameron descended to the bottom of challenger deep in the marianas trench, the deepest point in the ocean. the vessel he rode in was called deepsea challenger. challenger deep is 35,814 feet deep at its lowest point.
deepsea challenger’s descent was a change in depth of (-4) feet per second. we can use the equation ( y = -4x ) to model this relationship, where ( y ) is the depth and ( x ) is the time in seconds that have passed. how many seconds does this model suggest it would take for deepsea challenger to reach the bottom? (\boxed{quad}) seconds
to end the mission deepsea challenger made a one - hour ascent to the surface. how many seconds is this? (\boxed{quad}) seconds
part b

Explanation:

Part A - First Question

Step1: Identify known values

We know the depth \( y = - 35814 \) feet (negative because it's a descent) and the equation \( y=-4x \). We need to solve for \( x \).

Step2: Substitute and solve for \( x \)

Substitute \( y = - 35814 \) into \( y=-4x \):
\( - 35814=-4x \)
Divide both sides by - 4:
\( x=\frac{-35814}{-4} = 8953.5 \)

Part A - Second Question

Step1: Recall conversion factor

We know that 1 hour = 60 minutes and 1 minute = 60 seconds.

Step2: Calculate seconds in an hour

To find the number of seconds in 1 hour, we multiply:
\( 1\times60\times60 = 3600 \) seconds

Part A - First Answer:

\( 8953.5 \)

Part A - Second Answer:

\( 3600 \)

Answer:

Step1: Recall conversion factor

We know that 1 hour = 60 minutes and 1 minute = 60 seconds.

Step2: Calculate seconds in an hour

To find the number of seconds in 1 hour, we multiply:
\( 1\times60\times60 = 3600 \) seconds

Part A - First Answer:

\( 8953.5 \)

Part A - Second Answer:

\( 3600 \)