The table below shows the number of strawberries and cups of water used to make fruit punch according to a certain recipe.
Strawberries Water (cups)
384
30
320
25
How many cups of water are needed for every 1 strawberry? Note:
Your answer may be exact or rounded to the nearest hundredth.

5/64 of a cup.

Step-by-step explanation:

Is there two columns of data and two data points? Like this:

Strawberries          Water

384                         30

320                         25

If so, then there are two ways to do it.

1) You can set up a ratio like this

384/30 = 1/x

Where x is the number of cups of water for 1 strawberry.

So,

x = 30/384 of a cup

x = 5/64 of a cup.

2) Look at the increase from one to the other.

64 strawberries requires 5 cups of water

Divide by 5 by 64 to get the water for one strawberry

5/64 of a cup.

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: