The graph shows the linear relationship between the height of a plant (in centimeters) and the time (in weeks) that the plant ha
s been growing. Which statements are correct? Check all that apply. The rate of change is 4. The rate of change is 1. The rate of change is . The plant grows 4 cm in 1 week. The plant grows 1 cm in 4 weeks
2 answers:
You did not include the graph.
Searching on internet I found a graph with which I can help you. I will solve the question using and so you can understand the problem and solve with the real graph.
1) The slope of line given the graph is calculated as:
slope = run / rise = Δy / Δx = constant.
2) So, you can choose any two points to calculate the slope.
3) Uisng the points (50,20) and (30,10) you get:
slope = [ 20 - 10] / [50 - 30] = 10 / 20 = 1/2
4) Note that that means that the plant grows 1 cm in 2 days
5) The rate of change is 1cm / 2 weeks.
With this you know how to calculate the slope, which is the same rate of change, and the meaning of it, which permits to answer the question from the complete statement and graph.
Searching on internet I found a graph with which I can help you. I will solve the question using and so you can understand the problem and solve with the real graph.
1) The slope of line given the graph is calculated as:
slope = run / rise = Δy / Δx = constant.
2) So, you can choose any two points to calculate the slope.
3) Uisng the points (50,20) and (30,10) you get:
slope = [ 20 - 10] / [50 - 30] = 10 / 20 = 1/2
4) Note that that means that the plant grows 1 cm in 2 days
5) The rate of change is 1cm / 2 weeks.
With this you know how to calculate the slope, which is the same rate of change, and the meaning of it, which permits to answer the question from the complete statement and graph.
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Answer:
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Step-by-step explanation:
Let ,
, and
be scalars such that:
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.
The question states that . In other words:
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.
.
Make use of the fact that whereas
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.
.
The question also states that the scalar multiple here is positive. Hence, .
Therefore:
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could also be expressed in terms of
and
:
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.
Equate the two expressions and solve for and
:
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.
Hence:
.
.
Answer:
Ok here
Step-by-step explanation:
