Question

A scatter plot is shown. Data points are located at 1 and 9, 3 and 5, 5 and 6, 4 and 4, 2 and 7, and 6 and 4. A line of best fit crosses the y-axis at 10 and passes through the point 6 and 4. How many hours will Sherwin most likely sleep if he consumes 9 cups of coffee? 1, because y = −x + 10 2, because y = −x + 10 9, because y = −x + 10 10, because y = −x + 10

Answer 1

First we find the equation of the line.
 We have then:
 The standard equation of the line is:
 y-yo = m (x-xo)
 m = (y2-y1) / (x2-x1)
 A line of best fit crosses the y-axis at 10 and passes through the point 6 and 4
 m = (4-10) / (6-0)
 m = -1
 (xo, yo) = (6, 4)
 The line is:
 y-4 = -1 (x-6)
 y-4 = -x + 6
 y = -x + 10
 Where,
 y: number of hours slept.
 x: number of coffee cups.
 for x = 9
 y = - (9) +10
 y = 1 hour

 Answer:
 if he consume 9 cups of coffee, Sherwin will most likely sleep 1 hour. 
 1, because y = -x + 10

Answer 2

Answer:

if he consume 9 cups of coffee, Sherwin will most likely sleep 1 hour.  

1, because y = -x + 10