Question

Jason is scuba diving at a constant rate toward the ocean floor. The equation

y= -2.5x – 5 can be used to represent this situation, where y is the depth of Jason in meters
below sea level and x is the number of seconds Jason has been swimming.
Which statement best describes the depth of Jason, given this equation?
Jason started scuba diving 2.5 meters below sea level and is ascending at a rate of 2.5 meters per
second.
Jason started scuba diving 5 meters below sea level and is ascending at a rate of 2.5
meters per second.
Jason started scuba diving 2.5 meters below sea level and is descending at a rate of 2.5
meters per second.
Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5
meters per second.

Answer 1

Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5 meters per second.

Explanation:

Jason is scuba diving at a constant rate toward the ocean floor.

Equation:
`y= -2.5x- 5`

x = The number of seconds Jason has been swimming.

y=The depth of Jason in meters below sea level

General equation : y=mx+c

m = Slope = rate of change per unit

On comparing m = -2.5

Negative signs represents the descending .

So, rate of descending per second = 2.5 m/sec

-5 denotes the initial position below sea level

So, Option D is true

So, Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5 meters per second.