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The equation yˆ=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.

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.

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

The average number of grams of sugar is 57.

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

Step-by-step explanation:

The equation modelling the taste rating of a cereal, y, in a survey, where x is the number of grams of sugar per serving is expressed as

yˆ=2.391x + 57.420

This is a straight line graph represented in the slope intercept form which is expressed as

y = mx + c

Where

m represents the slope of the straight line

c represents the y intercept. The y intercept is the point at which x = 0.

From the given equation, the y intercept is 57.420

It means that a cereal with 0 grams of sugar has a rating of about 57

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

step-by-step explanation:

d would equal 12