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The scatterplot below shows the relationship between the
number of hot dogs left over after the cook-out and the number
of people who attended a cook-out.


Based on the trend line, approximately how many hot dogs would be remaining if only 18 people attended the cook out?

The Scatterplot Below Shows The Relationship Between The Number Of Hot Dogs Left Over After The Cookout And The Number Of People Who Attended A Cookout Based On class=

Sagot :

MrRoyal

A trend line is drawn through the points of a scatter plot

There would be 7 hot dogs remaining, when 18 people attended the cook out.

The points on the trend line are:

[tex]\mathbf{(x,y) = (0,60)(2,54)}[/tex]

The slope of the trend line is:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{54 - 60}{2 -0}}[/tex]

[tex]\mathbf{m =- \frac{6}{2}}[/tex]

[tex]\mathbf{m = -3}[/tex]

When x = 18, we have (18,y):

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex] becomes

[tex]\mathbf{-3 = \frac{55 - y}{2 -18}}[/tex]

[tex]\mathbf{-3 = \frac{55 - y}{-16}}[/tex]

Multiply both sides by 16

[tex]\mathbf{48 = 55 - y}[/tex]

[tex]\mathbf{y = 55 - 48}[/tex]

[tex]\mathbf{y = 7}[/tex]

Hence, there would be 7 hot dogs remaining, when 18 people attended the cook out.

Read more about trend lines at:

https://brainly.com/question/22722918

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