Nathan usually drinks 35 ounces of water per day. He read that he should drink 57 ounces of water per day. If he starts drinking 57 ounces, what is the percent increase? Round to the nearest percent.

68%

Step-by-step explanation:

1 - Find out how much it changed by; In this situation its an increase so we will subtract the larger number by the smallest number as this will always be the right way for increases.

57-35 = Δx

(where as Δ = change in; x is just the common representation of an undetermined value and is arbitrary)

Δx = 22

2.) Use that to find the percent increase

NOTE: now that we know that 35 increased by 22 to achieve 57, we understand its 35 + 22 = 57 but because we want to know what percent we increased by (Amount increased/initial amount = final amount-initial amount/initial amount) and because we know the Amount increased is 22 we just need to divide it by the initial amount of 35 therefore;

Percent Increase = %∧ =

22/35 = ∧ = 0.6825... x 100 = %∧ = 68.25% = 68%

  - J.M.Jamon

        Pennsylvania State University

        Full-time B.S.CE. undergrad student

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: