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PLEASE HELP!
Tamara sells magazine subscriptions. She notices that the number that she sells decreases when the price is higher. She decides to make a graph to see the relationship of the price of the subscription with the number of magazines shown. She plots the data and draws a best fit line (in red) to create a model. Find the equation of the best fit line where N(d) is the number of magazines sold when the subscription price of the magazine is (d) dollars per year.

PLEASE HELP Tamara sells magazine subscriptions She notices that the number that she sells decreases when the price is higher She decides to make a

Answer :

The equation of the line of best fit, for Tamara selling magazines, would be N(d) = − 6 . 8d + 230.2

How to find the line of best fit ?

The slope m is calculated using the formula:

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

Substituting the given points into the formula:

[tex]\[ m = \frac{135 - 220}{14 - 1.5} = \frac{-85}{12.5} \][/tex]

Solve for b using one of the points:

[tex]\[ 220 = m \times 1.5 + b \][/tex]

Substitute the value of m that we found into the equation and solve for b

Get the slope:

[tex]\[ m = \frac{-85}{12.5} \]\\ m = -6.8 \][/tex]

Now, using the slope and the point (1.5, 220) to find b :

[tex]\[ 220 = -6.8 \times 1.5 + b \]\[ 220 = -10.2 + b \]\[ b = 220 + 10.2 \]\[ b = 230.2 \][/tex]

Therefore, the equation of the best-fit line is approximately:

N(d) = -6.8d + 230.2

Find out more on line of best fit at https://brainly.com/question/17013321

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