Question

jace has a part - time job at an ice skating rink selling hot cocoa. he decided to plot the number of hot cocoas he sold relative to the days high temperature and then draw the line of best fit. based on the line of best fit, how many hot cocoas would you predict jace to sell if the days high temperature were 15°f?

Explanation:

Step1: Find the equation of the line of best fit

The line of best fit passes through the points \((0,92)\) and \((5,88)\).
The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{88 - 92}{5-0}=\frac{-4}{5}=- 0.8\)
Using the slope - intercept form \(y = mx + b\), where \(b = 92\) (the \(y\) - intercept when \(x = 0\)), the equation is \(y=-0.8x + 92\)

Step2: Substitute \(x = 15\) into the equation

When \(x = 15\), we substitute into \(y=-0.8x + 92\)
\(y=-0.8\times15+92\)
First, calculate \(-0.8\times15=-12\)
Then, \(y=-12 + 92\)
\(y = 80\)

Answer:

\(80\)