The line of best fit is y=−53x+5,339 . This line shows the comparison of average temperature to revenue from blanket sales. If the average temperature of 42 degrees give the revenue of $3,200, what is the y value given the line of best fit?(1 point) y = $

1 answer

To find the y value (revenue) using the line of best fit equation \( y = -53x + 5,339 \) where \( x \) is the average temperature, we substitute the average temperature (42 degrees) into the equation.

\[ y = -53(42) + 5,339 \]

Calculating \( -53 \times 42 \):

\[ -53 \times 42 = -2,226 \]

Now, substitute this back into the equation:

\[ y = -2,226 + 5,339 \]

Now, calculate \( 5,339 - 2,226 \):

\[ y = 3,113 \]

Therefore, the \( y \) value given the line of best fit at an average temperature of 42 degrees is:

\[ y = 3,113 \]

So, the revenue would be $3,113.