emir always serves cardamom tea to guests after a meal. he creates a scatter - plot and determines a line of…
emir always serves cardamom tea to guests after a meal. he creates a scatter - plot and determines a line of best fit to show the relationship between the number of cups of cardamom tea served and the number of guests for the 11 most recent times he had guests. based on the line of best fit, how many cups of cardamom tea should emir expect to serve if he has 15 guests? type the number in the box. cups of cardamom tea
Answer
Explanation:
Step1: Find the equation of the line of best - fit
We assume the line of best - fit is in the form $y = mx + b$. From the graph, when $x = 1$, $y=2$ and when $x = 3$, $y = 5$. First, find the slope $m$ using the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. $m=\frac{5 - 2}{3 - 1}=\frac{3}{2}=1.5$ Using the point - slope form $y - y_1=m(x - x_1)$ with the point $(1,2)$: $y-2 = 1.5(x - 1)$ $y-2=1.5x-1.5$ $y = 1.5x+0.5$
Step2: Substitute $x = 15$ into the equation
Substitute $x = 15$ into $y = 1.5x+0.5$. $y=1.5\times15 + 0.5$ $y = 22.5+0.5$ $y = 23$
Answer:
23