100 POINTS The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Donna drew the line of best fit on the graph. What would most likely be the approximate height of the plant after 8 weeks?

11.0 centimeters
9.25 centimeters
8.8 centimeters
7.4 centimeters

5.2

Step-by-step explanation:

To find the height of the plant after 7 weeks, we need to find out the equation of the line of best fit and plug in 7 for x. We already have our y - intercept, which is 1,  and we have a point on the x axis for which the y coordinate is an integer, (5, 4). Since we already have the y - intercept of +1 we have y = mx + 1. Since this applies to (5,4) we can plug this in to our equation. This is then 4 = 5m + 1. Subtracting 1 from both sides, we get 3 = 5m. Dividing by 5, we receive m = 3/5. Since now we have our slope, we can plug in 7 and find out our answer. Plugging in 7 we receive, y = 3/5 * 7 + 1, which is equal to y = 4.2 + 1. This means that y = 5.2, so 5.2 is our answer.

5.2 centimeters.

Step-by-step explanation:

The equation of the line is:

y = mx + b

The slope is 3/5. The y-intercept is given 1.

y = 3/5x + 1

Put x as 7, to find where point y lies.

y = 3/5(7) + 1

y = 21/5 + 1

y = 4.2 +1

y = 5.2

1.677

step-by-step explanation:

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