In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape
juice concentrate is 3 to 1.
a. Find two more ratios of cups of sparkling water to cups of juice concentrate that
would make a mixture that tastes the same as this recipe.
b. Describe another mixture of sparkling water and grape juice that would taste
different than this recipe.

A. 6 to 2 and 9 to 3

B. 3 to 2

Step-by-step explanation:

A. You have to find a ratio equivilant to the original (3 to 1). You can do so by multiplying or dividing both numbers in the ratio by the same number. For example 3x2=6 and 1x2=2 so 6 to 2 is and equivilant ratio.

B. You need to find a not equivilant ratio. Therefore, you can leave one number in the ratio the same and change the other one. You leave the 3 but multiply the 1 by 2 to get a new ratio of 3 to 2.

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is