If you need ½ cup of sugar and 3 cups of flour to make a recipe, how much flour would you need if you used 2 cup of sugar?

½ cup of sugar >>  3 cups of flour

2 cup of sugar >>    x

Use the ratio and proportion.

½.x= 2.3

½.x= 6

x= 3

We need 3 cup of flour

12 cups of flour

Step-by-step explanation:

every 1/2 cup sugar is 3 cups of flour

there are 4 halves in 2

3*4=12

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

c. (3,2,6) is the answer.