Question

The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Linda drew the line of best fit on the graph.
A graph titled Plant Height shows Number of Weeks on x axis and Height of Plant in cm on y axis. The scales on both x and y axes are shown from 0 to 5 at increments of 5. The graph shows dots at the ordered pairs 0, 2 and 1, 2.4 and 1.5, 2.7 and 2, 2.8 and 2.5, 3 and 3, 3.2 and 3.5, 3.5 and 4, 3.5 and 4.5, 3.6 and 5, 4. A straight line joins the ordered pairs 0, 2 and 5, 4

What would most likely be the approximate height of the plant after 7 weeks?

4.8 centimeters
14.4 centimeters
16.5 centimeters
19.5 centimeters

Answer 1

Answer:

A. 4.8 centimeters

Step-by-step explanation:

First find the equation for the line. To do that take the two points you know the line crosses through, (0,2) and (5,4) and find the slope first.

m = slope

m = (y2-y1)/(x2-x1)

m = (4-2)/(5-0)

m = (2/5)

m = .4

Then plug that into the standard for of an equation for a line.

y = mx + b

y = .4x + b

To find b, the y-intercept, plug in an x and y value you know of, like (0,2) or (5,4), and then solve for b.

2 = .4(0) + b

2 = 0 + b

b = 2

Now you have your equation.

y = .4x + 2

To figure out the growth after 7 weeks plug the number seven into the equation. And since weeks lies on the x-axis you plug 7 in for x.

y = .4(7) + 2

y = 2.8 + 2

y = 4.8

Answer 2

Answer:

4.8 centimeters

Step-by-step explanation:

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