the equation y equals 1/5x represents a proportional relationship. explain how you can tell the relationship is proportional fro
m the graph of the equation, and how can you find the constant of proportionality
1 answer:
If the equation is in y = k*x form, then we have a direct proportional relationship between x and y. In this case, y = (1/5)*x is in the form y = k*x where k = 1/5. So this equation is proportional. The constant of proportionality is k = 1/5
In terms of a graph, you can tell if it has the following properties:
1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line
You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.
In terms of a graph, you can tell if it has the following properties:
1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line
You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.
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Answer:
(5953.52,6046.49)
Step-by-step explanation:
We are given the following in the question:
Mean, = 6,000 pounds
Sample size, n = 40
Alpha, α = 0.05
Standard deviation, σ = 150 pounds
95% Confidence interval:
Putting the values, we get,
are the limits within which 95% of the sample means occur.