Mathematics, 31.01.2020 05:54, candycrush24

Recipe ingredients remain in a constant ratio no matter how many servings are prepared. which table shows a possible
ratio table for ingredients x and y for the given number of servings?

Recipe ingredients remain in a constant ratio no matter how many servings are prepared. which table

Answers: 2

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Answers

answered: Oliviapuffinburger33

Table N 4

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

Verify the table 4

For x=1, y=2

y/x=2/1=2

For x=2, y=4

y/x=4/2=2

For x=3, y=6

y/x=6/3=2

therefore

The constant of proportionality k is equal to 2 and the equation is equal to

y=2x

The table 4 represent a direct variation, therefore is a possible ratio table for ingredients X and Y

answered: chaparro0512

The correct option is 4.

Step-by-step explanation:

It given that recipe ingredients remain in a constant ratio no matter how many servings are prepared.

It means the relation between x and y is

$y\propto x$

y=kx

where k is constant of proportionality.

We need to find a possible ratio table for ingredients X and Y for the given number of servings.

In table 1,

$\frac{y_1}{x_1}=\frac{2}{1}$

$\frac{y_2}{x_2}=\frac{3}{2}$

$\frac{y_1}{x_1}\neq \frac{y_2}{x_2}$

Option 1 is incorrect.

In table 2,

$\frac{y_1}{x_1}=\frac{2}{1}=2$

$\frac{y_2}{x_2}=\frac{4}{2}=2$

$\frac{y_3}{x_3}=\frac{8}{3}$

$\frac{y_1}{x_1}\neq \frac{y_3}{x_3}$

Option 2 is incorrect.

In table 3,

$\frac{y_1}{x_1}=\frac{2}{1}$

$\frac{y_2}{x_2}=\frac{3}{2}$

$\frac{y_1}{x_1}\neq \frac{y_2}{x_2}$

Option 3 is incorrect.

In table 4,

$\frac{y_1}{x_1}=\frac{2}{1}=2$

$\frac{y_2}{x_2}=\frac{4}{2}=2$

$\frac{y_3}{x_3}=\frac{6}{3}=2$

$\frac{y_}{x_1}=\frac{y_2}{x_2}=\frac{y_3}{x_3}$

Option 4 shows a possible ratio table for ingredients X and Y for the given number of servings.

Therefore the correct option is 4.

answered: Guest

the 4th choice is the correct one

step-by-step explanation:

*sigh* i seriously need on this question. i don't understand it. i would appreciate it if somebody

answered: Guest

the system of inequity is

$y\leq -x+4$

$3y> x$

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

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

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

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

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

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

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).

$1=-0+4$

$1=4$

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 $\leq$ . the required inequality is