Please help

the equation ^y= 2.391x+57.420 models The taste rating of a serial y in a survey where x is the number of grams of sugar per serving

what does the y intercept of the equation represent in context of the situation

a cereal with 0 grams of sugar has a rating of about 2.391

the average number of grams of sugar is 2

the average number of grams of sugar is 57

a cereal with 0 grams of sugar has a rating of about 57

(D)a cereal with 0 grams of sugar has a rating of about 57

Step-by-step explanation:

The equation y= 2.391x+57.420 models the taste rating of a cereal y in a survey where x is the number of grams of sugar per serving.

When x=0

y= 2.391(0)+57.420

y=57.420

Since x is the number of grams of sugar per serving, and x=0 at the y-intercept.

We therefore state that in this context, a cereal with 0 grams of sugar per serving has a rating, y of about 57.

The correct option is D.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be