Question

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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.

Answer 1

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

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