writing the equation of a trend line\nblue moon steakhouse\nthe scatterplot shows how much time diners at…

writing the equation of a trend line\nblue moon steakhouse\nthe scatterplot shows how much time diners at the\nblue moon steakhouse spend eating their meals\ncompared to the number of guests in their parties.\nwhich equation best represents the trend line for the\ndata?\n$y = 12x$\n$y = 20x$\n$y = 15x + 20$\n$y = 20x + 40$

writing the equation of a trend line\nblue moon steakhouse\nthe scatterplot shows how much time diners at the\nblue moon steakhouse spend eating their meals\ncompared to the number of guests in their parties.\nwhich equation best represents the trend line for the\ndata?\n$y = 12x$\n$y = 20x$\n$y = 15x + 20$\n$y = 20x + 40$

Answer

Explanation:

Step1: Analyze the y - intercept

The trend line passes through a point close to ((0,20)), so the y - intercept (b) is approximately (20).

Step2: Analyze the slope

Take two points on the trend line, say ((2,50)) and ((4,80)). The slope (m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{80 - 50}{4 - 2}=\frac{30}{2}=15). The equation of a line is (y=mx + b), substituting (m = 15) and (b=20) gives (y = 15x+20).

Answer:

(y = 15x + 20)