Question

After visiting the Titanic, Captain Theodore and Commander Gilbert are taking the SSN-21 Seawolf submarine back to the surface of the water. They start 1500 meters below the surface of the water, and ascend at 52 meters per hour.
A) Write an equation in slope-intercept form to model this situation where
d is the distance under water and h is the time in hours.
B) How many meters below the surface is the submarine after 2 hours?
Answer: 1396

Answer 1

Part A: make slope-intercept form of equation
We will have variable y for the depth of the submarine after x hours. The start 1,500 will be written -1,500 because it's below surface of water.

The equation after x hours will be
y = -1,500 + 52x
y = 52x - 1,500

Part B: Find the depth after two hours
Change variable x with 2
y = 52x - 1,500
y = 52(2) - 1,500
y = 104 - 1,500
y = -1,396
Negative means it's below surface

Answer 2

Slope intercept form will be $d=52h-1500$ and Submarine will be $1396$ meters below the surface after $2$ hours .

What is Slope intercept form ?

Slope intercept form is one of the forms used to calculate the equation of a straight line.

i.e. $y=mx+b$

Here,  $m=$ slope and  $b=$ y-intercept ,

We have,

Distance  below the surface of the water $=-1500$ meter

Ascend rate $=52$ meters per second

$d=$ distance under water

$h=$  time in hours.

Now,

According to the question,

$d=52h-1500$

So, this the Slope intercept form .

Now,

We have,

$h=2$ hours

So, distance in meters below the surface is the submarine after $2$ hours will be,

$d=52h-1500$

$d=52*2-1500$

$d=-1396$ meter,

So, Submarine will be $1396$ meters below the surface after $2$ hours .

Hence, we can say that the Slope intercept form will be $d=52h-1500$ and Submarine will be $1396$ meters below the surface after $2$ hours .

To know more about Slope intercept forms click here

https://brainly.com/question/9682526

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