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

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

The line passes through points (0, 0) and (2, 4). The slope $m$ of the line is $\frac{y_2 - y_1}{x_2 - x_1}=\frac{4 - 0}{2 - 0}=2$. The y - intercept $b = 0$ (since it passes through the origin). So the equation of the line is $y=2x$.

Step2: Substitute the number of guests

We want to find the number of cups of tea $y$ when $x = 15$. Substitute $x = 15$ into $y = 2x$. So $y=2\times15$.

Answer:

30