12gallons of water fill a tank to 3/4 capacity what is the capacity of the tank question a if the tank is then filled to capacity, how many half - gallon bottles can be filled with the water in the tank

Tank is 16 gallons, which will fill 32 half-gallon bottles.

Step-by-step explanation:

Let x be the capacity of the tank.

We are told that 12 gallons of water will fill the tank, x,  to 3/4 capacity.  We can write that as:

12 gallons = (3/4)x

x = (4/3)*12 gallons

x = 16 gallons

How many half - gallon bottles [0.5 gallon/bottle] can be filled if the tank is at capacity, 16 gallons?  

16 gallons*(bottle/0.5 gallon) = 32 half - gallon bottles

Note that [0.5 gallon/bottle] is a conversion factor.  We can invert it to [bottle/0.5 gallon] and it is still valid.

the answer i think is a)

step-by-step explanation:

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )