A diver starts 30
 feet below sea level and is descending at a constant rate of 5
 feet per minute.


Which equation represents the relationship between y
, the diver’s elevation after x
 minutes.
A.y=−5x+30

B.y=5x+30

C.y=−5x−30

D.y=5x−30

5b. 
What is the diver’s elevation after 6 minutes?

                 feet
Keypad
1	2	3
4	5	6
7	8	9
0	.	-
/
CLEAR


### Part 1: Equation to represent the relationship between \( y \) and \( x \)

- The diver starts 30 feet below sea level, meaning the initial position is \( y = -30 \).
- The diver descends at a constant rate of 5 feet per minute. A descending rate means the elevation is decreasing, so the rate of change should be negative.
- Therefore, the slope of the line is \( -5 \) since the diver is descending.

The equation of a line in slope-intercept form is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Thus, the correct equation is:
\[
y = -5x - 30
\]
This corresponds to option **C**.

### Part 2: What is the diver’s elevation after 6 minutes?

Using the equation from Part 1 (\( y = -5x - 30 \)):

\[
y = -5(6) - 30 = -30 - 30 = -60
\]

After 6 minutes, the diver's elevation is **-60 feet**.

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Would you like further details on how this type of equation is derived or clarified?

### Related Questions:
1. What happens to the diver’s elevation after 10 minutes?
2. How can we represent the diver’s ascent if they started to rise at 3 feet per minute?
3. What is the diver’s position if they ascend after 5 minutes starting from 30 feet below sea level?
4. How does the slope affect the direction of movement in such word problems?
5. Can this type of problem be represented graphically, and how would the graph look?

### Tip: 
When solving word problems involving rates of change, identifying whether the change is positive (increasing) or negative (decreasing) is key to forming the correct equation.

A diver starts 30 feet below sea level and is descending at a constant rate of 5 feet per minute. Which equation represents the relationship between y, the diver’s elevation after x minutes? A. y = -5x + 30 B. y = 5x + 30 C. y = -5x - 30 D. y = 5x - 30 What is the diver’s elevation after 6 minutes?

Learn how to solve a word problem involving a diver descending 5 feet per minute from 30 feet below sea level. This algebra problem covers concepts such as linear equations and slope-intercept form, suitable for students in Grades 6-8.

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