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at 11:59 am complete: 44% lation (scatter plot) t from data table best …

Question

at 11:59 am
complete: 44%
lation (scatter plot)
t from data table
best fit
st fit
line of best fit
josue 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 josue to sell if the days high temperature were $54^{\circ}$f?
hot cocoas sold
answer attempt 1 out of 2
hot cocoas
submit answer

Explanation:

Step1: Find slope of best fit

Use points $(0,104)$ and $(36,62)$:
$$m=\frac{62-104}{36-0}=\frac{-42}{36}=-\frac{7}{6}$$

Step2: Write line equation

Y-intercept $b=104$, so:
$$y=-\frac{7}{6}x + 104$$

Step3: Substitute $x=54$

$$y=-\frac{7}{6}(54) + 104$$

Step4: Calculate the value

$$y=-63 + 104=41$$

Answer:

41 hot cocoas