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

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

1, because y = -x + 10

Answer 2

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