2. The water rate for Charlotte, North Carolina, is $1.33 per 748 gallons of water used. a. What is the water bill if 30,000 gallons of water are used?

b. How many gallons of water can be used for the water bill to be $150.

a) $53.34

b) 84,360.9 gallons

Step-by-step explanation:

let 'x' = cost of bill for 30,000 gallons

a) i set up a proportion as follows:

$1.33/748g = x/30,000

i cross-multiplied and got $53.34

b) i set up a proportion as follows:

let 'y' = how many gallons $150 can buy

$1.33/748g = 150/y

i cross-multiplied and got 84,360.9 gallons

Step-by-step explanation:

a)L(n)= 4n -3

Check: n = 4 ; L(n)= 4*4 - 3    = 16 - 3     =13

           n = 7;   L(7) = 7*4 - 3    = 28- 3    = 25

           n = 9;   L(9) = 9*4 - 3    =  36 - 3  = 33

           n = 12;  L(12) = 12*4 - 3 = 48 - 3  =45

b) L(n) = n² + 3

Check:  n = 0  ;   L(0) =  0² + 3 = 3

             n = 4  ;   L(4) = 4² + 3   = 16 + 3 = 19

             n = 5  ;   L(5) = 5² + 3   = 25 + 3 = 28

             n = 12  ;   L(12) = 12² + 3 = 144 + 3 = 147