Juan is hiking up a mountain starting at an elevation of 800 800 feet. every hour, he is 2000 2000 feet higher in elevation. which function, h(t), where t time in hours, represents juan's height over time. h(t)=2000t h(t)800t+2000 h(t)=2800t h(t)2000t+800

Option d. h(t) = 2000t + 800

Step-by-step explanation:

Juan is hiking up a mountain starting at an elevation of 800 feet.

Every hour he gains an elevation of 2000 feet.

So we have to find a function for h(t) where is the time and h is the height.

Since Juan gains height in 1 hour = 2000 ft.

therefore, height gained in t hours = 2000 ft.

He started hiking from 800 ft so total height after t hours will be 2000t + 800

In the form of a function h(t) = 2000t + 800

Option d. is the answer.

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:

what is the information provided?

step-by-step explanation: