Question

Write the equation for the given situation. Sammy is a scuba diver and is

50 feet below sea level. He is swimming back to the boat at the surface
of the water at a rate of 3 feet per second. Samantha is also scuba
diving and is 30 feet below sea level. She is swimming back to the boat
at the surface of the water at a rate of 2 feet per second.

Answer 1

Answer: 3x = 50 (Sammy), 2x = 30 (Samantha)

Step-by-step explanation:

Sammy is 50 feet below sea level, so he needs to swim 50 feet to sea level, and his pace is 3 feet per second. So, the equation is 3x = 50. To solve, divide 50 by 3, 50/3 = 16.6667

So, Sammy will get to the surface of the water in 16.6667 seconds.

Samantha is 30 feet below sea level, so he needs to swim 30 feet to sea level, and his pace is 2 feet per second. So, the equation is 2x = 30. To solve, divide 30 by 2, 30/2 = 15

So, Samantha will get to the surface of the water in 15 seconds.

Answer 2

The equations for Sammy and Samantha's ascent to the surface are S(t) = 50 - 3t and Sam(t) = 30 - 2t, respectively.

Step-by-step explanation:

To write the equation for Sammy and Samantha's situation as they swim back to the surface, let's define variables for their positions relative to the surface over time. Let S(t) be Sammy's depth below sea level in feet at time t seconds, and Sam(t) be Samantha's depth below sea level in feet at time t seconds. Since they are both ascending to the surface, their depths decrease over time.

If Sammy starts at 50 feet below and ascends at 3 feet per second, the equation describing his position as a function of time is S(t) = 50 - 3t. Similarly, for Samantha starting at 30 feet below ascending at 2 feet per second, her equation will be Sam(t) = 30 - 2t.