Question

The graph shows the number of cups of coffee Sherwin consumed in one day and the number of hours he slept that same night: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? (4 points)1, because y = −x + 102, because y = −x + 109, because y = −x + 1010, because y = −x + 10

Answer 1

Given:

The two endpoints (1, 9) and (6, 4).

To find the number of hours will Sherwin most likely sleep if he consumes 9 cups of coffee:

Using the two-point formula,

`\begin{gathered} (y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1) \\ (y-9)/(4-9)=(x-1)/(6-1) \\ (y-9)/(-5)=(x-1)/(5) \\ y-9=-x+1 \\ y=-x+10 \end{gathered}`

Substitute x=9 we get,

`\begin{gathered} y=-9+10 \\ y=1 \end{gathered}`

Hence, the answer is,

`1,because\text{ y=-x+10}`