Question

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

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Answer 2

one approach
find the slope of the line change in y/ change in x
slope is the same for any 2 points on that line
using one of the points and (7, y)
solve for y the height when x = 7

Answer 3

@triciaal I'm confused

Answer 4

@ChillOut

Answer 5

We have a linear equation. The form of a linear equation is given by y= mx + b, where "m" is the angular coefficient and "b" the y intercept. "b" is given by \(\frac{ \Delta y }{ \Delta x }\)

Answer 6

Moving on...
"b", the "y intecept" is 2 as we can see from graph

Answer 7

So... now to find the coefficient "m". We need to use known points, and the easiest ones for that are (0,2) and (5,4). We do \(\frac{ \Delta y }{ \Delta x }\) and we have \[\frac{ 4-2 }{ 5-0 }=\frac{ 2 }{ 5 }\] Now we need to plug m and b in the equation... \[\frac{ 2 }{ 5 }x +2\] This is the equation for this line. After this, we plug 7 in the "x".

Answer 8

And we will have \[\frac{ 2 }{ 5 }*7 +2=\frac{14}{5}+2 = \frac{24}{5}=4.8 cm\]

Answer 9

Did you get it? :)

Answer 10

Got it

Answer 11

All right then. If you need any help I'll be back later. Just ask ;)

Answer 12

Oh, and in my first response it should be "m" is given by dy/dx. major mistake there by me.

Answer 13

@automaticloveletter you are confused on finding the slope of the line even after telling you it's the change in y / change in x ?

Answer 14

@triciaal Yeah, well I got it now. Thanks anyways.