Question

kennedy has a part - time job at an ice skating rink selling hot cocoa. she decided to plot the number of hot cocoas she sold relative to the day’s high temperature and then draw the line of best fit. based on the line of best fit, how many hot cocoas would you predict kennedy to sell if the day’s high temperature were 40°f?

Explanation:

Step1: Find slope of best fit line

Slope $m = \frac{y_2-y_1}{x_2-x_1} = \frac{77-84}{8-0} = -\frac{7}{8}$

Step2: Write line equation

Using y-intercept $(0,84)$, equation: $y = -\frac{7}{8}x + 84$

Step3: Substitute $x=40$

$y = -\frac{7}{8}(40) + 84$

Step4: Calculate the value

$y = -35 + 84 = 49$

Answer:

49