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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

The graph shows the number of cups of coffee Sherwin consumed in one day and the number of hours he slept that same nightA scatter plot is shown Data points are class=

Respuesta :

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,

[tex]\begin{gathered} \frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1} \\ \frac{y-9}{4-9}=\frac{x-1}{6-1} \\ \frac{y-9}{-5}=\frac{x-1}{5} \\ y-9=-x+1 \\ y=-x+10 \end{gathered}[/tex]

Substitute x=9 we get,

[tex]\begin{gathered} y=-9+10 \\ y=1 \end{gathered}[/tex]

Hence, the answer is,

[tex]1,because\text{ y=-x+10}[/tex]

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