24cm.........................................
Answer: 63.3
Step-by-step explanation:
9.5v + 8.7w
v = 3
w = 4
9.5(3) + 8.7(4)
28.5 + 34.8
63.3
Using the given linear function of best-fit, the most likely approximate height of the plant after 8 weeks would be of 7.4 centimeters.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The line of best-fit goes through points (0,1) and (5,5). Point (0,1) means that the y-intercept is of b = 1. The slope is given as follows:
m = (5 - 1)/(5 - 0) = 4/5 = 0.8.
Hence the equation that gives the approximate height after x weeks is:
y = 0.8x + 1.
After 8 weeks, the expected height is:
y = 0.8 x 8 + 1 = 6.4 + 1 = 7.4 centimeters.
More can be learned about linear functions at brainly.com/question/24808124
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To find the slope of the expression:

We need to remember that this is the Slope-intercept Form of the line equation:

Where
m = slope
b is the y-intercept.
Therefore, the slope of the line equation above is m = 3.
The ordered pairs that satisfy this function are (-3,-1) and (3,3)