Graphing proportional relationships
1 answer:
a. The unit rate is 9 d per t
b. Find the graph in the attachment
To graph the line, we need to find its gradient or unit rate
<h3>a. How to calculate the unit rate of change of d with respect to t?</h3>Since t has an increase of 0.20 units in t corresponds to an increase of 1.8 units in d.
The gradient or unit rate of change is m = change in d/change in t
= Δd/Δt
Since
- Δd = +1.8 units and
- Δt = +0.2 units
So, substituting the values of the variables into the equation, we have
m = Δd/Δt
= + 1.8 units/+ 0.2 units
= 9 d per t
So, the unit rate is 9 d per t
<h3>b. The graph of the line</h3>
To graph the function, we need to know the equation of the graph.
So, the equation of a graph in gradient form is
m = (y - y')/(x - x') where (x', y') = (0, 0) since the graphs both start at the origin
Since m = 9, we have
m = (y - y')/(x - x')
9 = (y - 0)/(x - 0)
9 = y/x
y = 9x
So, the equation of the line is y = 9x
Find the graph in the attachment.
Learn more about graphs here:
#SPJ1
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Answer: 0.31
Step-by-step explanation:
Let A denotes the event that the students report drinking alcohol and B denotes the students report using some type of tobacco product .
Given : P(A) =0.84 ; P(B)=0.33 and P(A∪B)=0.86
We know that
Then, the probability that the student both drunk alcohol and used tobacco in the past month is given by :-
Hence, the probability that the student both drunk alcohol and used tobacco in the past month = 0.31
Answer: (2,1)
Step-by-step explanation:
The two equations given are:
y = 3 -x
y = x - 1
The question is asking to determine the point of intersection for two linear functions aka two lines.
Step #1: Both functions must be in slope intercept form which is y = mx+b. In this case, this step can be skipped because both functions are in slope form. At an intersection, x and y must have the same value for each equation. This means that the equations are equal to each other. Therefore, we can set both equations equal to each other to solve for x.
- Add x to both sides to get 2x - 1 = 3
- Add 1 to both sides to get 2x = 4
- Divide both sides by 2 to get x = 2
Step #2: We found the x-coordinate, but we need to find the y-coordinate. We know that the x-coordinate is 2, so substitute the number 2 into any of the given equations. So, either into y = 3 - x or y = x - 1.
The point of intersection is (2,1).
Hope this helps ^_^
