Question

dylan 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 dylan to sell if the days high temperature were 25°f?

Explanation:

Step1: Find the slope of the line

Use the two - point formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0,104)\) and \((x_2,y_2)=(8,100)\).
\(m=\frac{100 - 104}{8-0}=\frac{-4}{8}=-0.5\)

Step2: Find the equation of the line

The line is in the form \(y = mx + b\). Since \(b = 104\) (the \(y\) - intercept when \(x = 0\)) and \(m=-0.5\), the equation is \(y=-0.5x + 104\)

Step3: Predict the number of hot - cocoas

Substitute \(x = 25\) into the equation \(y=-0.5x + 104\).
\(y=-0.5\times25+104\)
\(y=-12.5 + 104\)
\(y = 91.5\approx92\)

Answer:

92