After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They start 1700 feet under water. After ascending for 6 hours, they are 1580 feet below the surface of the water. (Note: under the water is negative) Write an equation to model this situation (use d for depth in meters and x for hours).

d = -20x + 1700

Step-by-step explanation:

First, you need to identify how many meters the submarine travels in an hour. In order to figure this out, you need to know how far they traveled in 6 hours.

In 6 hours, they traveled 1700-1580 meters or 120 meters.

If you divide both values by 6, you'll get that they traveled 20 meters every hour. Now you can write the equation:

depth = 1700 meters - 20 meters (# of hours)

d = 1700 - 20x

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: