Q:

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, 4What 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

Accepted Solution

A:
Answer:A. 4.8 centimetersStep-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 = slopem = (y2-y1)/(x2-x1)m = (4-2)/(5-0)m = (2/5)m = .4Then plug that into the standard for of an equation for a line.y = mx + by = .4x + bTo 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) + b2 = 0 + bb = 2Now you have your equation.y = .4x + 2To 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) + 2y = 2.8 + 2y = 4.8